Let and be two non-collinear unit vectors

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

Problem

Let

\mathbf{a}

and

\mathbf{b}

be two non-collinear unit vectors. If

\mathbf{u} = \mathbf{a} - (\mathbf{a} \cdot \mathbf{b})\mathbf{b}

and

\mathbf{v} = \mathbf{a} \times \mathbf{b}

, then

|\mathbf{v}|

is (1)

|\mathbf{u}|

(2)

|\mathbf{u}| + |\mathbf{u} \cdot \mathbf{a}|

(3)

|\mathbf{u}| + |\mathbf{u} \cdot \mathbf{b}|

(4)

|\mathbf{u}| + \mathbf{u} \cdot (\mathbf{a} + \mathbf{b})

Related theory

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