If the components of a = α i + β j + γ k along and perpendicular… | JEE Main 2025 Mathematics PYQ

MCQEasyJEE Main 2025 · 28 January, Shift 2Basics of Vectors

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
$18$
B
$26$
C
$23$
D
$16$

Answer & step-by-step solution

Practice more Basics of Vectors questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Basics of Vectors

Answer & step-by-step solution

Practice more Basics of Vectors questions

Related questions