SOLUTION: 16. Show that the vectors A = 3i−2j + k, B = i−3j + 5k and C = 2i + j−4k form a right angled triangle.

Algebra ->  Parallelograms -> SOLUTION: 16. Show that the vectors A = 3i−2j + k, B = i−3j + 5k and C = 2i + j−4k form a right angled triangle.      Log On


   

Question 1123601: 16. Show that the vectors A = 3i−2j + k, B = i−3j + 5k and C = 2i + j−4k form a right angled triangle.
Answer by ikleyn(52864) About Me  (Show Source):
You can put this solution on YOUR website!
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The scalar product  (A*C) = 3*2 + (-2)*1 + 1*(-4) = 6 - 2 - 4 = 0.


Hence, the vectors A and C are orthogonal.

Solved.