Let a=2 i+3 j+4 k, b=i-2 j-2 k and c=-i+4 j+3 k. If d is a vector perpendicular to both b and c, and a · d=18, then |a × d|² is equal to:

Vector Algebra: JEE Main 2023 Mathematics question

JEE Main 2023 · 6 Apr, Morning shift · Q5843

JEE Main 20236 Apr, Morning shiftMathematicsHardVector Algebra184× since 2002

Let

\vec{a}=2 \hat{i}+3 \hat{j}+4 \hat{k}, \vec{b}=\hat{i}-2 \hat{j}-2 \hat{k}

and

\vec{c}=-\hat{i}+4 \hat{j}+3 \hat{k}

. If

\vec{d}

is a vector perpendicular to both

\vec{b}

and

\vec{c}

, and

\vec{a} \cdot \vec{d}=18

, then

|\vec{a} \times \vec{d}|^{2}

is equal to :

JEE Main 2023 · 6 Apr, Morning shift · Q5843

JEE Main 20236 Apr, Morning shiftMathematicsHardVector Algebra184× since 2002

Let

\vec{a}=2 \hat{i}+3 \hat{j}+4 \hat{k}, \vec{b}=\hat{i}-2 \hat{j}-2 \hat{k}

and

\vec{c}=-\hat{i}+4 \hat{j}+3 \hat{k}

. If

\vec{d}

is a vector perpendicular to both

\vec{b}

and

\vec{c}

, and

\vec{a} \cdot \vec{d}=18

, then

|\vec{a} \times \vec{d}|^{2}

is equal to :