For three unit vectors a, b, c satisfying | a- b|² + | b- c|² + |… | JEE Main 2026 Mathematics PYQ | Jeeify

Log in Start free trial

MCQMediumJEE Main 2026 · 28 January, Shift 1Dot Product

For three unit vectors $\vec a, \vec b, \vec c$ satisfying $|\vec a-\vec b|^2 + |\vec b-\vec c|^2 + |\vec c-\vec a|^2 = 9$ and $|2\vec a + k\vec b + k\vec c| = 3,$ the positive value of $k$ is:

A
$3$
B
$6$
C
$4$
D
$5$

Answer & step-by-step solution

Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.

Sign in to see the solution

Practice more Dot Product questions

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

Start free trial More on Dot Product

Related questions