If λ > 0, and θ is the angle between vectors a = i + λ j - 3 k an… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 4 April, Shift 2Dot Product

If $\lambda > 0$ , and $\theta$ is the angle between vectors $\vec a = \hat i + \lambda \hat j - 3\hat k$ and $\vec b = 3\hat i - \hat j + 2\hat k$ , such that $\vec a + \vec b$ and $\vec a - \vec b$ are mutually perpendicular, then the value of $(14 \cos(\theta))^2$ is equal to:

A
$25$
B
$20$
C
$50$
D
$40$

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