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Vector Algebra question

2025 · 22 Jan · Shift 1 · Q46

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JEE Main
Mathematics
Vector Algebra
2025 · 22 Jan · Shift 1 · Q46

Vector Algebra question

2025 · 22 Jan · Shift 1 · Q46

JEE MainMathematicsVector AlgebraNumerical+4 / −1

Let

\vec{c}

be the projection vector of

\vec{b}=\lambda \hat{i}+4 \hat{k}, \lambda\gt 0

, on the vector

\vec{a}=\hat{i}+2 \hat{j}+2 \hat{k}

. If

|\vec{a}+\vec{c}|=7

, then the area of the parallelogram formed by the vectors

\vec{b}

and

\vec{c}

is

\underline{\hspace{2cm}}

.

Numerical answer

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