Let a, b, and c be three non-zero vectors such that b and c are n… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 29 January, Shift 1Basics of Vectors

Let $\vec{a}$ , $\vec{b}$ , and $\vec{c}$ be three non-zero vectors such that $\vec{b}$ and $\vec{c}$ are non-collinear. If $\vec{a} + 5\vec{b}$ is collinear with $\vec{c}$ , $\vec{b} + 6\vec{c}$ is collinear with $\vec{a}$ , and $\vec{a} + \alpha\vec{b} + \beta\vec{c} = 0$ , then $\alpha + \beta$ is equal to:

A
$35$
B
$30$
C
$-30$
D
$-25$

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