Question: Suppose that u, v, w are nonzero and Show that u, v, and w are either mutually parallel or mutually perpendicular. Use Exercise 75. Data

Suppose that u, v, w are nonzero and

(u xv) xw = ux (vx w) = 0

Show that u, v, and w are either mutually parallel or mutually perpendicular. Use Exercise 75.


Data From Exercise 75

Show that if u, v, and w are nonzero vectors and (u × v) × w = 0, then either (i) u and v are parallel, or (ii) w is orthogonal to u and v.

(u xv) xw =ux (vx w) = 0

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