Let a and b be two unit vectors such that the angle between them… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 22 January, Shift 2Dot Product

Let $\mathbf{a}$ and $\mathbf{b}$ be two unit vectors such that the angle between them is $\frac{\pi}{3}$ . If $\lambda \mathbf{a} + 2 \mathbf{b}$ and $3 \mathbf{a} - \lambda \mathbf{b}$ are perpendicular to each other, then the number of values of $\lambda$ in $[-1, 3]$ is:

A
$2$
B
$0$
C
$3$
D
$1$

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