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Vector Algebra question

2024 · 5 Apr · Shift 2 · Q49

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JEE Main
Mathematics
Vector Algebra
2024 · 5 Apr · Shift 2 · Q49

Vector Algebra question

2024 · 5 Apr · Shift 2 · Q49

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Consider three vectors

\vec{a}, \vec{b}, \vec{c}

. Let

|\vec{a}|=2,|\vec{b}|=3

and

\vec{a}=\vec{b} \times \vec{c}

. If

\alpha \in\left[0, \frac{\pi}{3}\right]

is the angle between the vectors

\vec{b}

and

\vec{c}

, then the minimum value of

27|\vec{c}-\vec{a}|^2

is equal to:

A
124
B
110
C
121
D
105

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