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Vector Algebra question

2025 · 28 Jan · Shift 2 · Q33

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JEE Main
Mathematics
Vector Algebra
2025 · 28 Jan · Shift 2 · Q33

Vector Algebra question

2025 · 28 Jan · Shift 2 · Q33

JEE MainMathematicsVector AlgebraMCQ+4 / −1

If the components of

\vec{a}=\alpha \hat{i}+\beta \hat{j}+\gamma \hat{k}

along and perpendicular to

\vec{b}=3 \hat{i}+\hat{j}-\hat{k}

respectively, are

\frac{16}{11}(3 \hat{i}+\hat{j}-\hat{k})

and

\frac{1}{11}(-4 \hat{i}-5 \hat{j}-17 \hat{k})

, then

\alpha^2+\beta^2+\gamma^2

is equal to :

A
16
B
23
C
26
D
18

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