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Let \(\vec a=i+j+k\), \(\vec b=i-j+k\). If \(\vec c \perp \vec a\), \(\vec d \parallel \vec a\), and \(\vec b=\vec c+\vec d\), then \((\vec c\times \vec d)^2=\)

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Perpendicular + parallel decomposition is key in such vector splits.

Updated On: Jun 22, 2026

\(\frac{2}{9}\)
8
\(\frac{4}{3}\)
\(\frac{2}{3}\) \bigskip

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The Correct Option is C

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