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In each of the following find the vector...

In each of the following find the vector `vec(PQ), its magnitude and direction cosines, if P and Q have co-ordinates.
P(3,-1,7), Q(4,-3,-1).

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`vec(PQ) = (4-3)hati+(-3+1)hatj+(-1-7)hatk = hati-2hatj-8hatk`
`|vec(PQ)| = sqrt(1+4+64) = sqrt(69)`
D. cs of `vec(PQ)` are `1/sqrt(69), -2/sqrt(69), -8/sqrt(69)`.
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