A vector has magnitude units and makes equal angles with each of the three coordinate axes

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

A vector

\mathbf{a}

has magnitude

10

units and makes equal angles with each of the three coordinate axes. Which of the following represents

\mathbf{a}

? (a)

\dfrac{10}{\sqrt{2}}(\hat{i}+\hat{j}+\hat{k})

(b)

\dfrac{10}{\sqrt{3}}(\hat{i}+\hat{j}+\hat{k})

(c)

10\,(\hat{i}+\hat{j}+\hat{k})

(d)

\dfrac{10}{3}(\hat{i}+\hat{j}+\hat{k})