Let u=(-5, -2, 4), v= (3, 6, -5) and w = (-7, 1, -8)
a) Calculate (u × v).w and hence find the volume of the parallelepiped with adjacent sides u, v, and w.
b) Show that vector (u - projwu) and w are orthogonal.
c) Use the cross product to find the angle between u and w.
a)
cubic units
b)
Therefore and are orthogonal.
c)
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