Quiz about Magnitude of a Vector

Question 1

Scalar multiplication is:

Accepted Answer

multiplying a number against a vector to change its magnitude

Answer

multiplying two numbers from a scale

Answer

when our classroom elf, Scalar, uses magic to create a twin

Answer

the solution when multiplying two vectors

Question 2

Find the magnitude.

Accepted Answer

5

Answer

0

Answer

-5

Answer

4

Question 3

Find the magnitude.

Accepted Answer

5

Answer

3

Answer

25

Answer

-4

Question 4

Find the magnitude.

Accepted Answer

10

Answer

-10

Answer

-8

Answer

6

Question 5

Find the magnitude and the direction of this vector.

Accepted Answer

magnitude: 5

direction: 36.87 degrees North of East

Answer

magnitude: 4

direction: 36.87 degrees East of North

Answer

magnitude: 3

direction: 53.13 degrees East of North

Answer

magnitude: 5

direction: 53.13 degrees North of East

Question 6

Component Form

Accepted Answer

<7, 3>

Answer

<-3, -7>

Answer

<3, -7>

Answer

<-3, 7>

Question 7

Write in component form and find the magnitude.

Accepted Answer

<8, 2> magnitude $$2\sqrt{17}$$

Answer

<0, 4> magnitude 4

Answer

<8, 2> magnitude 8

Answer

<0, 4> magnitude 8.25

Question 8

Find the magnitude and direction for $$<-18,\ 5>$$

Accepted Answer

magnitude: 18.68
direction: $$15.52\degree$$ north of west

Answer

magnitude: 18.68
direction: $$74.48\degree$$ north of west

Answer

magnitude: $$\sqrt{349}$$
direction: $$\sqrt{349}$$ south of west

Question 9

Find the resultant vector. What is the direction of the resultant vector?

Accepted Answer

<1, 7> 81.86 degrees

Answer

<5, 3> 30.96 degrees

Answer

<7, 1> 8.13 degrees

Answer

<3, 5> 59.04 degrees

Question 10

Find the resultant vector.

Accepted Answer

<11, 13>

Answer

<9, 15>

Answer

<7, 17>

Answer

<15, 9>

Question 11

Find $$5\overrightarrow{u}$$ if $$\overrightarrow{u}=<3,\ 5>$$

What is the direction of the resultant vector?

Accepted Answer

<15, 25> 59.04 degrees

Answer

<15, 25> 30.96 degrees

Answer

<8, 10> 51.34 degrees

Answer

<8, 10> 38.66 degrees

Question 12

$$\overrightarrow{u}=<3,\ 5>\ \ \ \ \ \overrightarrow{w}=<-2,\ 2>$$

Find the resultant vector $$-\overrightarrow{u}+2\overrightarrow{w}$$ and its magnitude

Accepted Answer

<-7, -1> and magnitude $$5\sqrt{2}$$

Answer

<5, 3> and magnitude $$\sqrt{34}$$

Answer

<1, -9> and magnitude $$\sqrt{82}$$

Answer

<8, 11> and magnitude $$\sqrt{185}$$

Question 13

Determine the components of the vector:

Accepted Answer

<5, 8.66>

Answer

<8.66, 5>

Answer

<17.32, 8.66>

Answer

<5, 17.32>

Question 14

Determine the component form of the vector: magnitude= 12 and direction= 35 degrees

Accepted Answer

< 6.9, 9.8 >

Answer

< 8.4, 6.9 >

Answer

<6.9, 8.4 >

Answer

< 9.8, 6.9 >

Question 15

Determine the direction of <8, -2>

Accepted Answer

346 degrees

Answer

14 degrees

Answer

166 degrees

Answer

194 degrees

Question 16

Determine the direction of the vector <1, 3>

Accepted Answer

71.57 degrees

Answer

19.47 degrees

Answer

18.43 degrees

Answer

70.53 degrees

Question 17

If a vector is on the positive y-axis, what is it's direction?

Accepted Answer

Due North

Answer

Due South

Answer

Due East

Answer

Due West

Question 18

What is the terminal point of this vector?

(watch your quadrant)

Accepted Answer

(-10, 17.32)

Answer

(10, 17.32)

Answer

(17.32, 10)

Answer

(-17.32, 10)

Magnitude of a Vector

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