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Vector Algebra question

2023 · 8 Apr · Shift 1 · Q38

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JEE Main
Mathematics
Vector Algebra
2023 · 8 Apr · Shift 1 · Q38

Vector Algebra question

2023 · 8 Apr · Shift 1 · Q38

JEE MainMathematicsVector AlgebraMCQ+4 / −1

If the points with position vectors

\alpha \hat{i}+10 \hat{j}+13 \hat{k}, 6 \hat{i}+11 \hat{j}+11 \hat{k}, \frac{9}{2} \hat{i}+\beta \hat{j}-8 \hat{k}

are collinear, then

(19 \alpha-6 \beta)^{2}

is equal to :

A
16
B
49
C
36
D
25

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