Question

Letu=2i−3j+k,v=i+4j−k,andw=j+k. (a) Find u × v and v × u, and show that each of those...

Letu=2i−3j+k,v=i+4j−k,andw=j+k.
(a) Find u × v and v × u, and show that each of those vectors is orthogonal to both u and v.
(b) Find the area of the parallelogram that has u and v as adjacent sides.
(c) Use the triple scalar product to find the volume of the parallelepiped having adjacent
edges u, v, and w.

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