Pre-Calc Homework Solutions 406

# Pre-Calc Homework Solutions 406 - 406 Section 10.2(d w v 17...

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Unformatted text preview: 406 Section 10.2 (d) w v 17. The vector v is horizontal and 1 in. long. The vectors u and 11 w are in. long. w is vertical and u makes a 45 angle 16 with the horizontal. All vectors must be drawn to scale. (a) v u u+v u u+v+w=0 (b) 19. u+v+w v w 32 42 5; 1 3, 4 5 3 4 , 5 5 20. 42 ( 3)2 5; 1 4, 5 1 17 3 4 , 5 3 5 15 8 , 17 17 u 21. v u uv ( 15)2 82 17; 15, 8 (c) 22. ( 5)2 1 29 ( 2)2 2 29; 5 29 5, 1 2 t , 2 29 (d) u w uw 23. x ,y (y )2 2 1 1 t 17 . 2 ; for t 1, x 1 ,y 2 2, and (x )2 Tangent: Normal: 18. The angles between the vectors is 120 and vector u is horizontal. They are all 1 in. long. Draw to scale. (a) u 1 ,2 17 2 2 1 2, 2 17 1 17 4 , , 4 17 , 1 17 . 17 1 ,y 2 24. x v uv 1 t 1 ,y (y )2 2 1; for t 5 2 3, x 1, and (x )2 (b) Tangent: Normal v . 1 5 1 2 2 5 u 1 ,1 5 2 2 5 , 2 5 , 1 5 1, , . uv+w 25. x y w 4 sin t, y 5 , and 2 5 cos t; for t (y )2 2 3, 5 2 73 . 2 3 ,x 2 3, (x )2 2 73 Tangent (c) 12 21 9 , 5 73 2u 0.811, 0.585 , Normal v 2 5 ,2 73 2 3 5 73 , 12 219 2u v 0.585, 0.811 . ...
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