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Vector Algebra question

2024 · 6 Apr · Shift 1 · Q59

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JEE Main
Mathematics
Vector Algebra
2024 · 6 Apr · Shift 1 · Q59

Vector Algebra question

2024 · 6 Apr · Shift 1 · Q59

JEE MainMathematicsVector AlgebraNumerical+4 / −1

Let

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

and a vector

\vec{c}

be such that

\vec{a} \times(\vec{b}+\vec{c})+\vec{b} \times \vec{c}=\hat{i}+8 \hat{j}+13 \hat{k}

. If

\vec{a} \cdot \vec{c}=13

, then

(24-\vec{b} \cdot \vec{c})

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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