Question

3. Find the angle between the given vectors to the nearest tenth of a degree.

u = <8,7>, V = <9,7>

a) -8.3
b) 1.7
c) 3.3
d) 13.3

Answer 1

Explanation:

`u.v=|u||v| cos \theta\\(8)(9)+(7)(7)=√(8^2+7^2 ) √(9^2+7^2) cos \theta\\72+49=√(64+49) √(81+49)~ cos ~\theta\\121=√(113) √(130) ~cos~\theta\\cos~\theta=(121)/(√(113) √(130) ) \\\theta=cos^(-1) ((121)/(√(113)√(130) ) )\approx 3.3^\circ`