jee-main 2023 Q75

jee-main · India · session2_13apr_shift2 Vector Product and Surfaces
Let $| \vec { a } | = 2 , | \vec { b } | = 3$ and the angle between the vectors $\vec { a }$ and $\vec { b }$ be $\frac { \pi } { 4 }$. Then $| ( \vec { a } + 2 \vec { b } ) \times ( 2 \vec { a } - 3 \vec { b } ) | ^ { 2 }$ is equal to
(1) 441
(2) 482
(3) 841
(4) 882
Let $| \vec { a } | = 2 , | \vec { b } | = 3$ and the angle between the vectors $\vec { a }$ and $\vec { b }$ be $\frac { \pi } { 4 }$. Then $| ( \vec { a } + 2 \vec { b } ) \times ( 2 \vec { a } - 3 \vec { b } ) | ^ { 2 }$ is equal to\\
(1) 441\\
(2) 482\\
(3) 841\\
(4) 882