Let a=i+2j+k, b=3i-3j+3k, c=2i-j+2k and d be a vector such that b =c and a =4. Then |a |² is equal to:

Unclassified (maths): JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q74

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)

Let

\vec{a}=\hat{i}+2\hat{j}+\hat{k}

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

\vec{c}=2\hat{i}-\hat{j}+2\hat{k}

and

\vec{d}

be a vector such that

\vec{b}\times\vec{d}=\vec{c}\times\vec{d}

and

\vec{a}\cdot\vec{d}=4

. Then

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

is equal to:

Your answerInteger or decimal