[PDF] [PDF] 8-2 Practice Vectors in the Coordinate Plane

DATE PERIOD Chapter 8 12 Glencoe Precalculus 8-2 Practice Vectors in the Coordinate Plane Find a unit vector u with the same direction as v 8 v = 〈-3 



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[PDF] 8-2 Practice Vectors in the Coordinate Plane Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Compan ies, Inc.

NAME DATE PERIOD

Chapter 8 12 Glencoe Precalculus

8-2Practice

Vectors in the Coordinate Plane

Find the component form and magnitude of

???? AB with the given initial and terminal points.

1. A(2, 4), B(-1, 3) 2. A(4, -2), B(5, -5) 3. A(-3, -6), B(8, -1)

?-3, -1? ;

10 ?1, -3? ;

10 ?11, 5? ;

146

Find each of the following for v

?2, -1? and w = ?-3, 5? .

4. 3v 5. w - 2v

?6, -3? ?-7, 7?

6. 4v + 3w 7. 5w - 3v

?-1, 11? ?-21, 28? Find a unit vector u with the same direction as v. 8. v ?-3, 6

2 ⎷ ?

9. v = ?-8, -2?

Let ???? DE be the vector with the given initial and terminal points. Write ???? DE as a linear combination of the vectors i and j. 10. D

4, -5), E(6, -7) 2i - 2j 11. D(-4, 3), E(5, -2) 9i - 5j

12. D(4, 6), E(-5, -2) -9i - 8j 13. D(2, 1), E(3, 7) i + 6j

Find the component form of v with the given magnitude and direction angl

14. |v| = 12, θ = 42° ?8.9, 8.0? 15. |v| = 8, θ = 132° ?-5.4, 5.9?

16. GARDENING Anne and Henry are lifting a stone statue and moving it to

a new location in their garden. Anne is pushing the statue with a force

120 newtons at a 60° angle with the horizontal while Henry is pulling

the statue with a force of 180 newtons at a 40° angle with the horizontal What is the magnitude of the combined force they exert on the statue?

295.62 N

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