Identify the correct algebraic formula for the scalar (dot) product of two vectors and .

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

Problem

Identify the correct algebraic formula for the scalar (dot) product of two vectors

\mathbf a=(a_1,a_2,a_3)

and

\mathbf b=(b_1,b_2,b_3)

. (a)

a_1 b_2 - a_2 b_1

(b)

\sqrt{a_1^2+a_2^2+a_3^2}\,\sqrt{b_1^2+b_2^2+b_3^2}

(c)

a_1 b_1 + a_2 b_2 + a_3 b_3

(d)

a_1^{2}+a_2^{2}+a_3^{2}