Find x so that the triangle with vertices A=(4, 4, −2), B=(2, −1, −5), and C=(x, 14, −6) has a right angle at A.

3 answers

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as with the other question just like this one, you want AB•AC = 0
So,
(2-4)(x-4) + (-1-4)(14-4) + (-5+2)(-6+2) = 0
x = -15
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