4 1 Introduction to Vectors Problem 3 PreviousProblem List N

4 1 Introduction to Vectors: Problem 3 PreviousProblem List Next (2 points) Suppose that Iöl-6 and Iil] 23. Suppose also that, when drawn starting at the same point, u and to make an angle of radians. (A) Find llu; + and round to two decimal places. 11w +|-| 28.36 (B) Find Ilto-v l and round to two decimal places. lli-d| = | 28.36 Note: You can earn partial credit on this problem. Preview My Answers Submit Answers

Solution

a) ||w+ v|| = sqrt ( ||w||^2 + ||v||^2 + 2 ||w||||v|| cos pi/3 )

= sqrt ( 6^2 + 23^2 + 2 (6)(23) cos pi/3)

||w + v|| = 26.51

b) ||w - v|| = sqrt ( ||w||^2 + ||v||^2 + 2 ||w||||v|| cos pi/3 )

=  sqrt ( 6^2 + 23^2 - 2 (6)(23) cos pi/3)

||w - v|| = 20.66