SOLUTION: Find all values of k such that the triangle in R3 with vertices A(1,3,-1), B (0,5,-2), C(k,3,1) is a right angle triangle

SOLUTION: Find all values of k such that the triangle in R3 with vertices A(1,3,-1), B (0,5,-2), C(k,3,1) is a right angle triangle

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Question 1043770: Find all values of k such that the triangle in R3 with vertices
A(1,3,-1), B (0,5,-2), C(k,3,1) is a right angle triangle
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Slope AB,

Slope AC,

Slope BC,

Slopes and of perpendicular lines are related as . You can make three such equations using your slopes; and solve each for k.
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