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If \(\vec{a}\)and \(\vec{b}\) are two vectors such that \(|\vec{a}|=2\) and \(|\vec{b}|=3\), then the maximum value of \…

Q1

If \(\vec{a}\)and \(\vec{b}\) are two vectors such that \(|\vec{a}|=2\) and \(|\vec{b}|=3\), then the maximum value of \( 3|(3 \vec{a}+2 \vec{b})|+4|(3 \vec{a}-2 \vec{b})| \)is:

[JEE Main 2026, 2 Apr (Shift 1)]

a

\(30\)

b

\(36\)

c

\(60\)

d

\(72\)

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