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Vector Algebra question

2024 · 4 Apr · Shift 2 · Q50

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JEE Main
Mathematics
Vector Algebra
2024 · 4 Apr · Shift 2 · Q50

Vector Algebra question

2024 · 4 Apr · Shift 2 · Q50

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\vec{a}=\hat{i}+\hat{j}+\hat{k}, \vec{b}=2 \hat{i}+4 \hat{j}-5 \hat{k}

and

\vec{c}=x \hat{i}+2 \hat{j}+3 \hat{k}, x \in \mathbb{R}

. If

\vec{d}

is the unit vector in the direction of

\vec{b}+\vec{c}

such that

\vec{a} \cdot \vec{d}=1

, then

(\vec{a} \times \vec{b}) \cdot \vec{c}

is equal to

A
3
B
9
C
11
D
6

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