Let (\alpha, \beta, \gamma) be the co-ordinates of the foot of the perpendicular drawn from the point (5,4,2) on the line \overrightarrow{ r }=(-\hat{i}+3 \hat{j}+\hat{k})+\lambda(2 \hat{i}+3 \hat{j}-\hat{k}). Then the length of the projection of the vector \alpha \hat{i}+\beta \hat{j}+\gamma \hat{k} on the vector 6 \hat{i}+2 \hat{j}+3 \hat{k} is : [21 Jan 2026 Shift 1]

JEE Main 21 Jan 2026 Shift 1 Paper Solved Paper

Section: Mathematics

Question : 9 of 75

Marks: +1, -0

Let (α,β,γ) be the co-ordinates of the foot of the perpendicular drawn from the point (5,4,2) on the line

→

=(−

∧

)+λ(2

∧

−

∧

).
Then the length of the projection of the vector α

∧

+β

∧

+γ

∧

on the vector 6

∧

is :

[21 Jan 2026 Shift 1]

Go to Question:

Prev Question

Next Question