How do you find the area of the parallelogram with vertices: p(0,0,0), q(-5,0,4), r(-5,1,2), s(-10,1,6)?

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How do you find the area of the parallelogram with vertices: p(0,0,0), q(-5,0,4), r(-5,1,2), s(-10,1,6)?

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Answer 1 · 2018-03-23T09:42:38

#sqrt141#?

Explanation:

The area of a parallelogram is the magnitude of the cross-product of any two non-parallel sides.
Take #vec(PQ)# and #vec(PR)#, say, because they share a point and so can't be parallel:
#||(hat (i),hat j,hat k),(-5,0,4),(-5,1,2)||#
#=sqrt(16+100+25)#
=#sqrt141# (if my vector multiplication and scalar multiplication are correct!)

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How do you find the area of the parallelogram with vertices: p(0,0,0), q(-5,0,4), r(-5,1,2), s(-10,1,6)?

1 Answer

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