Vectors of right anhle triangle

Question

3 vectors of a triangle have position vector of 2i+j+3k,3i-3j+5k and 5i-4j+2k respectively relating to an origin O, show that the triangle A,B,C is right angle triangle.

Answer 1

Here, positions of A,B,C are given. We need to calculate the vectors AB, BC, CA first. For right angled triangle one of the angle should be 90 and it should follow the Pythagoras theorem.