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Vector Algebra question

2025 · 2 Apr · Shift 2 · Q44

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JEE Main
Mathematics
Vector Algebra
2025 · 2 Apr · Shift 2 · Q44

Vector Algebra question

2025 · 2 Apr · Shift 2 · Q44

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\overrightarrow{\mathrm{a}}=2 \hat{i}-3 \hat{j}+\hat{k}, \quad \overrightarrow{\mathrm{~b}}=3 \hat{i}+2 \hat{j}+5 \hat{k}

and a vector

\overrightarrow{\mathrm{c}}

be such that

(\vec{a}-\vec{c}) \times \vec{b}=-18 \hat{i}-3 \hat{j}+12 \hat{k}

and

\vec{a} \cdot \vec{c}=3

. If

\vec{b} \times \vec{c}=\vec{d}

, then

|\vec{a} \cdot \vec{d}|

is equal to :

A
15
B
18
C
12
D
9

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