Vertices with the position vectors î - 2ĵ + 2k̂, 2î + ĵ - k̂ and 3î - ĵ + 2k̂ form a triangle.

Question

Vertices with the position vectors î - 2ĵ + 2k̂, 2î + ĵ - k̂ and 3î - ĵ + 2k̂ form a triangle. This triangle is:

Accepted Answer

Suppose the vertices are $ A $, $ B $, and $ C $, then: $$ AB = i - 3j - 3k $$ $$ BC = 2i + j $$ $$ CA = i - 2j + 3k $$ Here: $$ BC · AC = 2 - 2 = 0 $$ Hence, the triangle is right-angled.

Question 36

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