What is the sum of z 1 = − 3 + 4 i z_1=-3+4i z 1 = − 3 + 4 i and z 2 = 5 i − 10 z_2=5i-10 z 2 = 5 i − 1 0

− 13 + 9 i -13+9i − 1 3 + 9 i

Work out the value of 3 − i 2 − 2 i \frac{3-i}{2-2i} 2 − 2 i 3 − i

1 + 1 2 i 1+\frac{1}{2}i 1 + 2 1 i

8 + 1 2 i 8+\frac{1}{2}i 8 + 2 1 i

What is the trigonometric form of 𝑧 = − 4 + 4 𝑖 𝑧=−4+4𝑖 z = − 4 + 4 i

4 2 ( cos ⁡ 3 π 4 + i sin ⁡ 3 π 4 ) 4\sqrt{2}\left(\cos\ \frac{3\pi}{4}+i\sin\ \frac{3\pi}{4}\right) 4 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ( cos 4 3 π + i sin 4 3 π )

4 ( cos ⁡ 3 π 4 + i sin ⁡ 3 π 4 ) 4\left(\cos\ \frac{3\pi}{4}+i\sin\ \frac{3\pi}{4}\right) 4 ( cos 4 3 π + i sin 4 3 π )

4 2 ( cos ⁡ π 4 + i sin ⁡ π 4 ) 4\sqrt{2}\left(\cos\ \frac{\pi}{4}+i\sin\ \frac{\pi}{4}\right) 4 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ( cos 4 π + i sin 4 π )

10 ( cos ⁡ π 3 + i sin ⁡ 3 π 4 ) 10\left(\cos\ \frac{\pi}{3}+i\sin\ \frac{3\pi}{4}\right) 1 0 ( cos 3 π + i sin 4 3 π )

Vector C D → \overrightarrow{CD}\ C D <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> is the same as

b → \overrightarrow{b\ } b <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z">

a → \overrightarrow{a\ } a <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z">

− a → -\overrightarrow{a\ } − a <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z">

− b → -\overrightarrow{b\ } − b <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z">

Find the dot product of the following vectors a → = ( − 1 , 4 , 6 ) \overrightarrow{a\ }=\left(-1,\ 4,\ 6\right) a <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( − 1 , 4 , 6 ) b → = ( 3 , − 5 , 10 ) \overrightarrow{b\ }=\left(3,\ -5,\ 10\right) b <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( 3 , − 5 , 1 0 )

a → ⋅ b → = 37 \overrightarrow{a\ }\cdot\overrightarrow{b\ }=37 a <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> ⋅ b <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = 3 7

a → ⋅ b → = 10 \overrightarrow{a\ }\cdot\overrightarrow{b\ }=10 a <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> ⋅ b <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = 1 0

a → ⋅ b → = 40 \overrightarrow{a\ }\cdot\overrightarrow{b\ }=40 a <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> ⋅ b <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = 4 0

a → ⋅ b → = 83 \overrightarrow{a\ }\cdot\overrightarrow{b\ }=83 a <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> ⋅ b <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = 8 3

Math Cambridge - 11th grade

Authored by Sevdije Krasniqi

Mathematics

11th Grade

CCSS covered

Used 670+ times

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

16 questions

Show all answers

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the sum of $z_1=-3+4i$ and $z_2=5i-10$

$2-6i$

$9i+13$

$-13+9i$

$i+9$

Tags

CCSS.HSA.APR.D.7

FILL IN THE BLANK QUESTION

15 mins • 1 pt

Calculate $i^{129}$

(a)

Tags

CCSS.HSF-IF.C.8B

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Work out the value of

$\frac{3-i}{2-2i}$

$8+\frac{1}{2}i$

$8+4i$

$5+7i$

$1+\frac{1}{2}i$

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the trigonometric form of
$𝑧=−4+4𝑖$

$4\left(\cos\ \frac{3\pi}{4}+i\sin\ \frac{3\pi}{4}\right)$

$4\sqrt{2}\left(\cos\ \frac{3\pi}{4}+i\sin\ \frac{3\pi}{4}\right)$

$4\sqrt{2}\left(\cos\ \frac{\pi}{4}+i\sin\ \frac{\pi}{4}\right)$

$10\left(\cos\ \frac{\pi}{3}+i\sin\ \frac{3\pi}{4}\right)$

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Select the correct formula for the multiplication of complex numbers given in the trigonometric form

$\frac{r_1}{r_2}\left[\cos\left(\theta_1-\theta_2\right)+i\sin\left(\theta_1-\theta_2\right)\right]$

$r_1r_2\left[\cos\ \frac{\theta_1}{\theta_2}+i\sin\frac{\theta_1}{\theta_2}\right]$

$r_1r_2\left[\cos\left(\theta_1+\theta_2\right)+i\sin\left(\theta_1+\theta_2\right)\right]$

$\frac{r_1}{r_2}\left[\cos\left(\theta_1+\theta_2\right)+i\sin\left(\theta_1+\theta_2\right)\right]$

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The green vector represents

$\overrightarrow{a\ }\ -\overrightarrow{b\ }\$

$\overrightarrow{a\ }\ \times\overrightarrow{b\ }\$

$\overrightarrow{a\ }\ +\overrightarrow{b\ }\$

$2\overrightarrow{a\ }\$

FILL IN THE BLANK QUESTION

15 mins • 1 pt

What is the magnitude of $\overrightarrow{AB}=\left(-8,6\right)$

(a)

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Work out $3\overrightarrow{a\ }-5\overrightarrow{b\ }$

(14, -16)

(14, 4)

(9, 4)

(4, 4)

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Select all the true options

$\overrightarrow{a\ }+\overrightarrow{b\ }=\overrightarrow{e\ }$

$\overrightarrow{b\ }+\overrightarrow{c\ }=\overrightarrow{a\ }$

$\overrightarrow{c\ }+\overrightarrow{d\ }=\overrightarrow{e\ }$

$\overrightarrow{a\ }-\overrightarrow{b\ }=\overrightarrow{c\ }$

$\overrightarrow{d\ }+\overrightarrow{a\ }=\overrightarrow{c\ }$

10.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the magnitude of $\overrightarrow{i\ \ },\ \overrightarrow{j\ \ }and\ \overrightarrow{k\ }$ ?

100

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

20 questions

Mineduc D

Quiz

•

7th - 12th Grade

12 questions

PHÉP TỊNH TIẾN

Quiz

•

11th Grade

13 questions

Chapter 1: Quadratic Functions and Equations in One Variable

Quiz

•

11th - 12th Grade

20 questions

Математикалық сауаттылық

Quiz

•

1st Grade - Professio...

15 questions

Differentiation Rules

Quiz

•

11th Grade

11 questions

Determinantes

Quiz

•

10th - 12th Grade

20 questions

ULANGAN HARIAN PROGRAM LINEAR

Quiz

•

11th Grade

20 questions

Patrons de solides

Quiz

•

KG - 12th Grade

Popular Resources on Wayground

10 questions

5.P.1.3 Distance/Time Graphs

Quiz

•

5th Grade

10 questions

Fire Drill

Quiz

•

2nd - 5th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

22 questions

School Wide Vocab Group 1 Master

Quiz

•

6th - 8th Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

20 questions

Inferences

Quiz

•

4th Grade

12 questions

What makes Nebraska's government unique?

Quiz

•

4th - 5th Grade

Discover more resources for Mathematics

10 questions

Factor Quadratic Expressions with Various Coefficients

Quiz

•

9th - 12th Grade

19 questions

Explore Probability Concepts

Quiz

•

7th - 12th Grade

43 questions

STAAR WEEK 1

Quiz

•

9th - 12th Grade

11 questions

Solving Quadratic Equations by Factoring

Quiz

•

9th - 12th Grade

20 questions

Solving quadratics using square roots

Quiz

•

11th Grade

10 questions

Trigonometric Ratios

Quiz

•

9th - 11th Grade

20 questions

SSS/SAS

Quiz

•

9th - 12th Grade

6 questions

Equations of Circles

Quiz

•

9th - 12th Grade

Math Cambridge - 11th grade

What is the sum of z1=−3+4iz_1=-3+4iz1​=−3+4i and z2=5i−10z_2=5i-10z2​=5i−10

Calculate i129i^{129}i129 (a)

Work out the value of 3−i2−2i\frac{3-i}{2-2i}2−2i3−i​

What is the trigonometric form of 𝑧=−4+4𝑖𝑧=−4+4𝑖z=−4+4i

Select the correct formula for the multiplication of complex numbers given in the trigonometric form

The green vector represents

What is the magnitude of AB→=(−8,6)\overrightarrow{AB}=\left(-8,6\right)AB=(−8,6) (a)

Work out 3a →−5b →3\overrightarrow{a\ }-5\overrightarrow{b\ }3a −5b

Select all the true options

What is the magnitude of i →, j →and k →\overrightarrow{i\ \ },\ \overrightarrow{j\ \ }and\ \overrightarrow{k\ }i , j ​and k ?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

What is the sum of $z_1=-3+4i$ and $z_2=5i-10$

Calculate $i^{129}$

(a)

Work out the value of

$\frac{3-i}{2-2i}$

What is the trigonometric form of
$𝑧=−4+4𝑖$

What is the magnitude of $\overrightarrow{AB}=\left(-8,6\right)$

(a)

Work out $3\overrightarrow{a\ }-5\overrightarrow{b\ }$

What is the magnitude of $\overrightarrow{i\ \ },\ \overrightarrow{j\ \ }and\ \overrightarrow{k\ }$ ?