a n = a 1 ( 1 ± p 100 ) n a_n=a_1\left(1\pm\frac{p}{100}\right)^n a n = a 1 ( 1 ± 1 0 0 p ) n

S = a 1 ( 1 − q n ) 1 − q S\ =\frac{a_1\left(1-q^n\right)}{1-q}\ S = 1 − q a 1 ( 1 − q n )

a n = ( 1 ± p 100 ) n a_n=\left(1\pm\frac{p}{100}\right)^n a n = ( 1 ± 1 0 0 p ) n

S = a 1 1 − q S\ =\frac{a_1}{1-q}\ S = 1 − q a 1

V e k t o r i t e a → = ( x 1 ; y 1 ) Vektorite\ \ \ \overrightarrow{a}\ =\ \left(x_1;y_1\right)\ \ \ \ V e k t o r i t e 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"> = ( x 1 ; y 1 ) ja b → = ( x 2 ; y 2 ) \ \ \overrightarrow{b}\ =\ \left(x_2;y_2\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"> = ( x 2 ; y 2 ) skalaarkorrutis on

a → ⋅ b → = x 1 x 2 + y 1 y 2 \overrightarrow{a}\cdot\overrightarrow{b}\ =\ x_1x_2+y_1y_2 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"> = x 1 x 2 + y 1 y 2

cos ⁡ α = a → ⋅ b → ∣ a → ∣ ⋅ ∣ b → ∣ \cos\alpha=\frac{\overrightarrow{a}\cdot\overrightarrow{b}}{\left|\overrightarrow{a}\right|\cdot\left|\overrightarrow{b}\right|} cos α = ∣ ∣ ∣ 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"> ∣ ∣ ∣ 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">

a → ⋅ b → = ∣ a → ∣ ⋅ ∣ b → ∣ ⋅ cos ⁡ α \overrightarrow{a}\cdot\overrightarrow{b}=\left|\overrightarrow{a}\right|\cdot\left|\overrightarrow{b}\right|\cdot\cos\alpha 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"> = ∣ ∣ ∣ 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"> ∣ ∣ ∣ ⋅ cos α

Kahe punktiga määratud sirge võrrand:

x − x 1 x 2 − x 1 = y − y 1 y 2 − y 1 \frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y1} x 2 − x 1 x − x 1 = y 2 − y 1 y − y 1

x − x 1 x s → = y − y 1 y s → \frac{x-x_1}{x_{\overrightarrow{s}}}=\frac{y-y_1}{y_{\overrightarrow{s}}} x s <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"> x − x 1 = y s <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"> y − y 1

y − y 1 = k ( x − x 1 ) y\ -\ y_1=k\left(x-x_1\right) y − y 1 = k ( x − x 1 )

Punkti ja vektoriga määratud sirge võrrand

x − x 1 x s → = y − y 1 y s → \frac{x-x_1}{x_{\overrightarrow{s}}}=\frac{y-y_1}{y_{\overrightarrow{s}}} x s <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"> x − x 1 = y s <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"> y − y 1

x − x 1 x 2 − x 1 = y − y 1 y 2 − y 1 \frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y1} x 2 − x 1 x − x 1 = y 2 − y 1 y − y 1

y − y 1 = k ( x − x 1 ) y-y_1=k\left(x-x_1\right) y − y 1 = k ( x − x 1 )

Punkti ja tõusugamääratud sirge võrrand

y − y 1 = k ( x − x 1 ) y-y_1=k\left(x-x_1\right) y − y 1 = k ( x − x 1 )

x − x 1 x 2 − x 1 = y − y 1 y 2 − y 1 \frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y1} x 2 − x 1 x − x 1 = y 2 − y 1 y − y 1

Sirge tõus sirge kahe punkti abil

k = y 2 − y 1 x 2 − x 1 k=\frac{y_2-y_1}{x_2-x_1} k = x 2 − x 1 y 2 − y 1

k = x 2 − x 1 y 2 − y 1 k=\frac{x_2-x_1}{y_2-y_1} k = y 2 − y 1 x 2 − x 1

k = tan ⁡ α k\ =\ \tan\alpha k = tan α

Sirge tõus tõusunurga abil

k = tan ⁡ α k\ =\ \tan\alpha k = tan α

k = y 2 − y 1 x 2 − x 1 k=\frac{y_2-y_1}{x_2-x_1} k = x 2 − x 1 y 2 − y 1

Valemite töö II gümnaasium

Authored by Helgi Kaiv

Mathematics

12th Grade

Used 12+ times

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25 questions

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MULTIPLE SELECT QUESTION

30 sec • 1 pt

Aritmeetilise jada üldvalem a

a_n=a₁ + (n-1)d

a_n=a₁ - (n-1)d

a_n=a₁ + nd

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Aritmeetilise jada n esimese liikme summa valemid

$S_n=\frac{a_1+a_n}{2}$

$S_n=\frac{a_1+a_n}{2}\cdot n$

$S_n=\frac{2a_1+\left(n-1_{ }\right)d}{2}\cdot n$

$S\ =\frac{a_1\left(1-q^n\right)}{1-q}$

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Geomeetrilise jada üldliikme valem

$a_{n_{ }}=a_1+\left(n-1\right)d$

$a_n=a_1q^{n-1}$

$a_n=a_1q^{n+1}$

$a_{n_{ }}=a_1+nd$

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Geomeetrilise jada esimese n liikme summa

$S\ =\ \frac{a_1+a_n}{2}\cdot n$

$S\ =\ \frac{2a_1+\left(n-1\right)d}{2}\cdot n$

$S\ =\frac{a_1\left(1-q^n\right)}{1-q}\$

$S\ =\frac{a_1}{1-q}\$

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Hääbuva geomeetrilise jada summa valem

$S\ =\frac{a_1\left(1-q^n\right)}{1-q}\$

$S\ =\frac{a_1}{1-q}\$

$S=\frac{a_1+a_n}{2}n$

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Liitintressi valem

$S\ =\frac{a_1\left(1-q^n\right)}{1-q}\$

$a_n=a_1\left(1\pm\frac{p}{100}\right)^n$

$a_n=\left(1\pm\frac{p}{100}\right)^n$

$S\ =\frac{a_1}{1-q}\$

FILL IN THE BLANK QUESTION

30 sec • 1 pt

Vektori $\overrightarrow{AB}$ koordinaadid on $\overrightarrow{AB}=$

(a)

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Vektori koordinaadid $\overrightarrow{AB}$ arvutame valemiga, kui $A\left(x_1;y_1\right)$ ja $B\left(x_2;y_2\right)$ .

$\overrightarrow{AB}\ =\ \left(\ x_2-x_1;\ y_2-y_1\ \right)$

$\left|\overrightarrow{AB}\right|=\sqrt{x^2+y^2}$

$\left|\overrightarrow{AB}\right|=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$\overrightarrow{AB}\ =\ \ x_2-x_1;\ y_2-y_1\$

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Vektori $\overrightarrow{AB}$ pikkuse arvutame valemiga, kui $A\left(x_1;y_1\right)$ ja $B\left(x_2;y_2\right)$ .

$\overrightarrow{AB}=\left(x_2-x_1;y_2-y_1\right)$

$\overrightarrow{AB}=\sqrt{\left(x_2-x_1;y_2-y_1\right)}$

$\left|\overrightarrow{AB}\right|=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1^{ }\right)^2}$

$\left|\overrightarrow{AB}\right|=\sqrt{\left(x_2-x_1\right)^2-\left(y_2-y_1^{ }\right)^2}$

10.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

$Vektorite\ \ \ \overrightarrow{a}\ =\ \left(x_1;y_1\right)\ \ \ \$ ja $\ \ \overrightarrow{b}\ =\ \left(x_2;y_2\right)$ skalaarkorrutis on

$\overrightarrow{a}\cdot\overrightarrow{b}\ =\ x_1x_2+y_1y_2$

$\cos\alpha=\frac{\overrightarrow{a}\cdot\overrightarrow{b}}{\left|\overrightarrow{a}\right|\cdot\left|\overrightarrow{b}\right|}$

$\overrightarrow{a}\cdot\overrightarrow{b}=\left|\overrightarrow{a}\right|\cdot\left|\overrightarrow{b}\right|\cdot\cos\alpha$

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Valemite töö II gümnaasium

Aritmeetilise jada üldvalem a

Aritmeetilise jada n esimese liikme summa valemid

Geomeetrilise jada üldliikme valem

Geomeetrilise jada esimese n liikme summa

Hääbuva geomeetrilise jada summa valem

Liitintressi valem

Vektori AB→\overrightarrow{AB}AB koordinaadid on AB→=\overrightarrow{AB}=AB= (a)

Vektori koordinaadid AB→\overrightarrow{AB}AB arvutame valemiga, kui A(x1;y1)A\left(x_1;y_1\right)A(x1​;y1​) ja B(x2;y2)B\left(x_2;y_2\right)B(x2​;y2​) .

Vektori AB→\overrightarrow{AB}AB pikkuse arvutame valemiga, kui A(x1;y1)A\left(x_1;y_1\right)A(x1​;y1​) ja B(x2;y2)B\left(x_2;y_2\right)B(x2​;y2​) .

Vektorite a→ = (x1;y1) Vektorite\ \ \ \overrightarrow{a}\ =\ \left(x_1;y_1\right)\ \ \ \ Vektorite a = (x1​;y1​) ja b→ = (x2;y2)\ \ \overrightarrow{b}\ =\ \left(x_2;y_2\right) b = (x2​;y2​) skalaarkorrutis on

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Vektori $\overrightarrow{AB}$ koordinaadid on $\overrightarrow{AB}=$

(a)

Vektori koordinaadid $\overrightarrow{AB}$ arvutame valemiga, kui $A\left(x_1;y_1\right)$ ja $B\left(x_2;y_2\right)$ .

Vektori $\overrightarrow{AB}$ pikkuse arvutame valemiga, kui $A\left(x_1;y_1\right)$ ja $B\left(x_2;y_2\right)$ .

$Vektorite\ \ \ \overrightarrow{a}\ =\ \left(x_1;y_1\right)\ \ \ \$ ja $\ \ \overrightarrow{b}\ =\ \left(x_2;y_2\right)$ skalaarkorrutis on