(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

What is the area of a parallelogram that has points A(1,2,-3), B(2,0,4), & C(5,1,-2) as three of its four vertices?

2. Relevant equations

none, really

3. The attempt at a solution

First, I found two vectors, [tex]\vec{AB}[/tex] and [tex]\vec{BC}[/tex].

[tex]\vec{AB}[/tex] is <1,-2,7> and [tex]\vec{BC}[/tex] is <-3,-1,6>

Then the cross product between the two: -9i+ 3j+ 7k.

And then the magnitude: [tex]\sqrt{81+9+49}[/tex] = [tex]\sqrt{139}[/tex]

Is this the correct way of solving this problem? Thank you.

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# Homework Help: Basic Vector Problem

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