QJEEM23Ma1a18: JEE Main 2023 Physics - Class 11 JEEM23Ma1a18 Solution: Let and be two vectors, Let and . If , then the value of is :

Question

Verified Solution • 2025–26 Session moderate

Let

\vec{a}

and

\vec{b}

be two vectors, Let

|\vec{a}|=1,|\vec{b}|=4

and

\vec{a} \cdot \vec{b}=2

. If

\vec{c}=(2 \vec{a} \times \vec{b})-3 \vec{b}

, then the value of

\vec{b} \cdot \vec{c}

is :

Accepted Answer

$\overrightarrow b .\overrightarrow c = \overrightarrow b .(2\overline a \times \overrightarrow b ) - 3\overline b .\overrightarrow b$

$= 0 - 3|\overline b {|^2} = - 48$

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