prove that u = cos(theta)i-sin(theta)j and v = sin(theta)i+cos(theta)j are unit vectors for any angle theta. thanks, i appriciate that.
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Originally Posted by runrunrun prove that u = cos(theta)i-sin(theta)j and v = sin(theta)i+cos(theta)j are unit vectors for any angle theta. thanks, i appriciate that. Elementary, $\displaystyle ||\b{u}||=\cos^2 \theta+(-\sin \theta )^2=\cos^2 \theta +\sin^2\theta =1$. You do the other one.
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