Let |a|=2,|b|=3 and the angle between the vectors a and b be (π)/4. Then |(a+2 b) ×(2 a-3 b)|² is equal to:

Vector Algebra: JEE Main 2023 Mathematics question

JEE Main 2023 · 13 Apr, Evening shift · Q5836

JEE Main 202313 Apr, Evening shiftMathematicsMediumVector Algebra184× since 2002

Let

|\vec{a}|=2,|\vec{b}|=3

and the angle between the vectors

\vec{a}

and

\vec{b}

\frac{\pi}{4}

. Then

|(\vec{a}+2 \vec{b}) \times(2 \vec{a}-3 \vec{b})|^{2}

is equal to :

JEE Main 2023 · 13 Apr, Evening shift · Q5836

JEE Main 202313 Apr, Evening shiftMathematicsMediumVector Algebra184× since 2002

Let

|\vec{a}|=2,|\vec{b}|=3

and the angle between the vectors

\vec{a}

and

\vec{b}

\frac{\pi}{4}

. Then

|(\vec{a}+2 \vec{b}) \times(2 \vec{a}-3 \vec{b})|^{2}

is equal to :