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Precalculus : Find a Direction Vector When Given Two Points

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Example Questions

Example Question #11 : Find A Direction Vector When Given Two Points

Find the direction vector with an initial point of T(-4, 5) and a terminal point B(4, -1) .

Possible Answers:

<8, -6>

<-8, 6>

<-6, 8>

Correct answer:

<8, -6>

Explanation:

To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.

$\overrightarrow{TB}=<4-(-4), -1-5>=<8, -6>$

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Example Question #12 : Find A Direction Vector When Given Two Points

If $\overrightarrow{DE}=<5, -1>$ and E=(-2, -1) , which of the following is a possible point for ?

Possible Answers:

(0, -3)

(-3, -2)

(-7,0)

(3, -2)

Correct answer:

(-7,0)

Explanation:

To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.

To find the x-coordinate of ,

-2-x=5

x=-7

To find the y-coordinate of ,

-1-y=-1

y=0

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Example Question #11 : Find A Direction Vector When Given Two Points

If $\overrightarrow{EF}=<2, -8>$ and E=(-1, 5) , what is one possible point for ?

Possible Answers:

(1, -3)

(-3, -3)

(3, 3)

(-3, 3)

Correct answer:

(1, -3)

Explanation:

To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.

To find the x-coordinate of ,

x-(-1)=2

x=1

To find the y-coordinate of ,

y-5=-8

y=-3

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Example Question #12 : Find A Direction Vector When Given Two Points

If $\overrightarrow{OP}=<4, -2>$ and O=(2, 10) , what is a possible value of ?

Possible Answers:

(-6, 8)

(6, -2)

(6, 8)

(8, 6)

Correct answer:

(6, 8)

Explanation:

To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.

To find the x-coordinate of ,

x-2=4

x=6

To find the y-coordinate of ,

y-10=-2

y=8

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Precalculus : Find a Direction Vector When Given Two Points

Study concepts, example questions & explanations for Precalculus

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Example Questions

Example Question #11 : Find A Direction Vector When Given Two Points

Example Question #12 : Find A Direction Vector When Given Two Points

Example Question #11 : Find A Direction Vector When Given Two Points

Example Question #12 : Find A Direction Vector When Given Two Points

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