Let u = i - j - 2k, v = 2i + j - k, v · w = 2 and v × w = u + λ v. Then u · w is equal to

Let u = i - j - 2k, v = 2i + j - k, v · w = 2 and v × w = u… — JEE Main 2023 Mathematics PYQ

JEE Main 2023 · 24 Jan · Shift 1 · Paper-1(B.E./B. Tech.)

Let

\vec{u} = \hat{i} - \hat{j} - 2\hat{k}

\vec{v} = 2\hat{i} + \hat{j} - \hat{k}

\vec{v} \cdot \vec{w} = 2

and

\vec{v} \times \vec{w} = \vec{u} + \lambda \vec{v}

. Then

\vec{u} \cdot \vec{w}

is equal to

Show answer

Correct option: B

[JEE Main 2023 · 24 Jan · Shift 1 · Paper-1(B.E./B. Tech.)]

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