?Use the sine and cosine of the angle between two nonzero vectors u and v to prove
Chapter 2, Problem 205(choose chapter or problem)
Use the sine and cosine of the angle between two nonzero vectors u and v to prove Lagrange’s identity: \(\|\mathbf{u} \times \mathbf{v}\|^{2}=\|\mathbf{u}\|^{2}\|\mathbf{v}\|^{2}-(\mathbf{u} \cdot \mathbf{v})^{2}\) .
Text Transcription:
|u times v|^2 = |u|^2 |v|^2 - (u cdot v)^2
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