question archive The problem)if u is a unit vector, find u v andu w
The problem)if u is a unit vector, find u v andu w
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The problem)if u is a unit vector, find u v andu w.The solution:| u | = 1 | v | = 1 | w | =1The angle between u and vis theta = 60 degreeu v = | u | | v | Cos theta = (1) (1) Cos 60 degree = 1/2The angle between u and wis theta = 180 degree - 60 degree = 120 degree u w = | u | | w |Cos theta = (1) (1)Cos 120 degree = -1/2 What is the difference between u vand u w? Why do I need to subtract 180 - 60 to find the angle betweenu and w? Isn't it the same angle as the angle between uand v?
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FROM THE FIGURE
you should measure the angle between thedirections not sides
please see the attached file for complete solution
