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Vector Algebra question

2024 · 5 Apr · Shift 1 · Q58

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JEE Main
Mathematics
Vector Algebra
2024 · 5 Apr · Shift 1 · Q58

Vector Algebra question

2024 · 5 Apr · Shift 1 · Q58

JEE MainMathematicsVector AlgebraNumerical+4 / −1

Let

\overrightarrow{\mathrm{a}}=\hat{i}-3 \hat{j}+7 \hat{k}, \overrightarrow{\mathrm{b}}=2 \hat{i}-\hat{j}+\hat{k}

and

\overrightarrow{\mathrm{c}}

be a vector such that

(\overrightarrow{\mathrm{a}}+2 \overrightarrow{\mathrm{b}}) \times \overrightarrow{\mathrm{c}}=3(\overrightarrow{\mathrm{c}} \times \overrightarrow{\mathrm{a}})

. If

\vec{a} \cdot \vec{c}=130

, then

\vec{b} \cdot \vec{c}

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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