Vectors and satisfy

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

Problem

Vectors

\mathbf{a}

and

\mathbf{b}

satisfy

|\mathbf{a}|=3

,

|\mathbf{b}|=4

and the angle between them is

60^{\circ}

. Evaluate

|2\mathbf{a}-3\mathbf{b}|^{2}

. (a)

144

(b)

108

(c)

168

(d)

180

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