The answers are on the 3rd picture

Page K 2 of 4 11, A woman leaves home and walks 3 miles west, then 2 miles southwest. How far from home is she, and in what direction must she walk to head directly home? 12. Three forces act on an object: F, = (-8, -5), F2 = (0,1), F, =(4,-7). Find the net force acting on the object. Find the dot product of each pair of vectors. 13. (0, 4); ( - 3, 0) 14. ( 6, 5) ; ( 3 , 7 ) 15. (-2,1) ; (-10, 13) 16. ( 2 , - 5 ) ;(8 , - 4 ) Home andFind the angle between the vectors 17. (0, 4) ; (- 3,0) 18. ( 2, 4) ; ( 1, - 3 ) 19. ( 4 , 2 ) ; ( 8 , 4 ) 20. Find a value for k so that (2, 7) and (k, 4) will be orthogonal. 21. Find a value for k so that (-3,5) and (2, k) will be orthogonal. 22. Given initial point P1 = (4, - 1) and terminal point P2 = (-3, 2), write the vector v in terms of i and j. Draw the points and the vector on the graph. Home R G K/. Magnitude: 2.236, Direction: 153.4350, VS' VS 8. Magnitude: 5.385, Direction: 291.8010, 2 V29' V29 9. 1 + V = (3,2), 17 -V= (1,-8), 217 -30=(1,-21) 10. 1 + v= (-5,5), u-v= (-1,3), and 21 -3v=(0,5) 11. 4.635 miles, 17.764 deg N of E 12. F =-4,-11 13. 0 14. 53 15. 33 16. 36 17. cos -1 0 =90 18. cost (2)(1) + (4)(-3) =1350 V22 + 42 12 + (-3)2 19. cos S -1 (4) (8) + (2)(4) =00 20. k =-14 21. k= 6/5 V42 + 82 22 +42 22. -7i + 3j