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Vector Algebra question

2024 · 5 Apr · Shift 2 · Q37

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JEE Main
Mathematics
Vector Algebra
2024 · 5 Apr · Shift 2 · Q37

Vector Algebra question

2024 · 5 Apr · Shift 2 · Q37

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

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

and

\vec{c}

be three vectors such that

(\vec{c}+\hat{i}) \times(\vec{a}+\vec{b}+\hat{i})=\vec{a} \times(\vec{c}+\hat{i})

. If

\vec{a} \cdot \vec{c}=-29

, then

\vec{c} \cdot(-2 \hat{i}+\hat{j}+\hat{k})

is equal to:

A
15
B
10
C
5
D
12

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