Prove that vectors a = 2i - j + k, b = i - 3j - 5k

Question

Prove that \(\vec{a} = 2\hat{i} - \hat{j} + \hat{k}, \vec{b} = \hat{i} - 3\hat{j} - 5\hat{k}\) and \(\vec{c} = 3\hat{i} - 4\hat{j} - 4\hat{k}\) are vector sides of right angled triangle.

Answer 1

Given sides are

∴ The given sides are the sides of right angled triangle.