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Vector Algebra question

2024 · 1 Feb · Shift 1 · Q38

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JEE Main
Mathematics
Vector Algebra
2024 · 1 Feb · Shift 1 · Q38

Vector Algebra question

2024 · 1 Feb · Shift 1 · Q38

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\overrightarrow{\mathrm{a}}=-5 \hat{i}+\hat{j}-3 \hat{k}, \overrightarrow{\mathrm{b}}=\hat{i}+2 \hat{j}-4 \hat{k}

and

\overrightarrow{\mathrm{c}}=(((\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}) \times \hat{i}) \times \hat{i}) \times \hat{i}

. Then

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

is equal to :

A
-12
B
-10
C
-13
D
-15

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