QJEEM19Ma820c: JEE Main 2019 Physics - Class 11 JEEM19Ma820c Solution: If α → = ( λ − 2 ) a → + b →   and   β → =…

Question

Verified Solution • 2025–26 Session moderate

If

\vec{α}

=

(λ - 2) \vec{a} + \vec{b}

and

\vec{β} = (4 λ - 2) \vec{a} + 3 \vec{b}

be two given vectors

\vec{a}

and

\vec{b}

are non-collinear. The value of

λ

for which vectors

\vec{α}

and

\vec{β}

are collinear, is -

Accepted Answer

\vec{α} = (λ - 2) \vec{α} + \vec{b}

\vec{β} = (4 λ - 2) \vec{α} + 3 \vec{b}

\frac{λ - 2}{4 λ - 2} = \frac{1}{3}

3 λ - 6 = 4 λ - 2

λ = - 4

QJEEM19Ma820c: JEE Main 2019 Physics - Class 11 JEEM19Ma820c Solution: If α → = ( λ − 2 ) a → + b → &nbsp;&nbsp;and&nbsp;&nbsp; β → =…