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Vector Algebra question

2023 · 8 Apr · Shift 1 · Q43

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2023 · 8 Apr · Shift 1 · Q43

Vector Algebra question

2023 · 8 Apr · Shift 1 · Q43

JEE MainMathematicsVector AlgebraNumerical+4 / −1

Let

\vec{a}=6 \hat{i}+9 \hat{j}+12 \hat{k}, \vec{b}=\alpha \hat{i}+11 \hat{j}-2 \hat{k}

and

\vec{c}

be vectors such that

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

. If

\vec{a} \cdot \vec{c}=-12, \vec{c} \cdot(\hat{i}-2 \hat{j}+\hat{k})=5

, then

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

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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