19. The cross product has an interesting geometric interpretation. Let u, u be vectors in R...

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19. The cross product has an interesting geometric interpretation. Let u, u be vectors in R³ and Wux. Then ||w|| = A, where A is the area of the parallelogram spanned by u, v. In other words, if is the angle between u and |||||||||||| sin(0) = Prove this for u = (0,3,3), = (2,1,2). 20. Let u, v E R³. Show that ||ú × v||² + |uv|² = ||||²||||²| Hint: there's an easy way and a hard way. 19. The cross product has an interesting geometric interpretation. Let u, u be vectors in R³ and Wux. Then ||w|| = A, where A is the area of the parallelogram spanned by u, v. In other words, if is the angle between u and |||||||||||| sin(0) = Prove this for u = (0,3,3), = (2,1,2). 20. Let u, v E R³. Show that ||ú × v||² + |uv|² = ||||²||||²| Hint: there's an easy way and a hard way.