Question

Find magnitude \(\vec{a}\) =\(\hat{i}\) + \(\hat{j}\) + \(\hat{k}\).

(a) \(\sqrt{3}\)

(b) \(\sqrt{2}\)

(c) 0

(d) \(\sqrt{4}\)

I had been asked this question during an interview.

My question is from Multiplication of a Vector by a Scalar in section Vector Algebra of Mathematics – Class 12

Answer 1

Correct option is (a) \(\sqrt{3}\)

Best explanation: Magnitude of vector is calculated by formula \(\sqrt{x^2+ y^2+ z^2}\).

Where x, y, z are the coefficients of \(\hat{i}\), \(\hat{j}\), \(\hat{k}\).

The magnitude of vector \(\vec{a}\) is calculated as \(\sqrt{(1^2+1^2+1^2)} = \sqrt{3}\).