Page 4 Section 8.6 1. 2u 2. The vectors do not need to start at the same point 3. 4. 5. Magnitude: 4, Direction: 90, (0, 1) 6. Magnitude: 7.810, Direction: 39.806 767) 7. Magnitude: 2.236, Direction: 153.4350. (2, 1). 8. Magnitude: 5.385, Direction: 291.8010. 25727) 9. 17 + V = (3,2), 1 -V = (1, 8). 217 -37 =(1,-21) 10. 7 + 5 - (-5,5), 1-1= (-1,3) , and 217 -31 =(0,5) 11. 4.635 miles, 17.764 deg N of E 12. Fu = -4,-11 13. 0 14. 53 15. 33 16. 36 17. cos3 = 90 18. cos (2)(1) +(4)(-3) =1350 23 +43 V12 + (-3)? 19. cos (4)(8) +(2)(4) 20. =-14 V42 + 82 2" + 4- 21. K= 6/5 22 -71+ 3j O 9 m W 73OF 13020. 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 PA - (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