Vector Operations CW - Mr. Ehrman's Page

Precalculus

Name___________________________________

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Vector Operations CW

Date________________ Period____

Find the component form of the resultant vector.

1) u = 27, -36 Find the vector opposite u

2) Given: P = (7, 5) Q = (3, 7)

Find the vector opposite PQ

Express the resultant vector as a linear combination of unit vectors i and j.

3) f = 19, 67? Find the vector opposite f

4) u = -12i + j Find: -4u

5) Given: T = (3, -10) X = (8, 1)

Find: 7TX

Find the component form of the resultant vector. 6) u = 5, -5

v = 2, 4 Find: -u + v

Worksheet by Kuta Software LLC

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7) Given: A = (9, 3) B = (-9, -9) C = (-4, 10) D = (5, 5)

Find: -AB + CD

8) Given: A = (-6, 0) B = (-4, -1) C = (7, 5) D = (4, 4)

Find: 7AB - 5CD

Express the resultant vector as a linear combination of unit vectors i and j. 9) a = 6i - 2j

v = 2i + 11j Find: -3a + 8v

Draw a diagram to illustrate the horizontal and vertical components of the vector. Then find the magnitude of each component. 10) t = 47, 166?

Worksheet by Kuta Software LLC

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Draw a vector diagram to find the resultant of each pair of vectors using the triangle method. Then state the magnitude and direction angle of the resultant.

11) t = 12, 16 u = 6, -8

12) t = 8, -15 u = -12, 2

Draw a vector diagram to find the resultant of each pair of vectors using the parallelogram method. Then state the magnitude and direction angle of the resultant.

13) a = 3, 4 b = 1, -6

14) m = -8, 15 n = 5, 12

Worksheet by Kuta Software LLC

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Precalculus

Name___________________________________

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Vector Operations CW

Date________________ Period____

Find the component form of the resultant vector.

1) u = 27, -36 Find the vector opposite u

2) Given: P = (7, 5) Q = (3, 7)

Find the vector opposite PQ

-27, 36

4, -2

Express the resultant vector as a linear combination of unit vectors i and j.

3) f = 19, 67? Find the vector opposite f

4) u = -12i + j Find: -4u

-7.42i - 17.49j

48i - 4j

5) Given: T = (3, -10) X = (8, 1)

Find: 7TX 35i + 77j

Find the component form of the resultant vector. 6) u = 5, -5

v = 2, 4 Find: -u + v

-3, 9

Worksheet by Kuta Software LLC

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7) Given: A = (9, 3) B = (-9, -9) C = (-4, 10) D = (5, 5)

Find: -AB + CD

27, 7

8) Given: A = (-6, 0) B = (-4, -1) C = (7, 5) D = (4, 4)

Find: 7AB - 5CD

29, -2

Express the resultant vector as a linear combination of unit vectors i and j. 9) a = 6i - 2j

v = 2i + 11j Find: -3a + 8v

-2i + 94j

Draw a diagram to illustrate the horizontal and vertical components of the vector. Then find the magnitude of each component. 10) t = 47, 166?

x y

t

Horizontal: -45.6 Vertical: 11.37

Worksheet by Kuta Software LLC

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