Question

Show that the vectors a = (3i - 2j + k),b = (i - 3j + 5k) and c = (2i + j - 4k) form a right - angled triangle.

Answer 1

 \(\vec{a} = 3\vec{i} - 2\vec{j} + \vec{k}\)

\(\vec{b} = \vec{i} - 3\vec{j} + \vec{5k}\)

 \(\vec{c} = 2\vec{i} + \vec{j} - \vec{4k}\) 

Hence, the triangle is a right angled triangle at c