Let α = 3i + j and β = 2i - j + 3k. If β = β_1 - β_2, where β_1 is parallel to α and β_2 is perpendicular to α, then β_1 × β_2 is equal to

Let α = 3i + j and β = 2i - j + 3k. If β = β_1 - β_2, where… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 9 April · Shift I

Let

\vec{\alpha} = 3\hat{i} + \hat{j}

and

\vec{\beta} = 2\hat{i} - \hat{j} + 3\hat{k}

. If

\vec{\beta} = \vec{\beta}_1 - \vec{\beta}_2

, where

\vec{\beta}_1

is parallel to

\vec{\alpha}

and

\vec{\beta}_2

is perpendicular to

\vec{\alpha}

, then

\vec{\beta}_1 \times \vec{\beta}_2

is equal to

Show answer

Correct option: C

[JEE Main 2019 · 9 April · Shift I]

Practise Vector Algebra the way it is asked

A timed set of real JEE Main Vector Algebra questions, graded as the exam grades. No sign-up.