Mathematics · 2023
JEE Main · 11 April 2023, Shift 2 · Q17
If four distinct points with position vectors a, b, c and d are coplanar, then [ a b c ] is equal to
If four distinct points with position vectors $\displaystyle \vec{a}, \vec{b}, \vec{c}$ and $\displaystyle \vec{d}$ are coplanar, then $\displaystyle [\vec{a} \vec{b} \vec{c}]$ is equal to
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle \left[\begin{array}{lll}
\vec{d} & \vec{c} & \vec{a}
\end{array}\right]+\left[\begin{array}{lll}
\vec{b} & \vec{d} & \vec{a}
\end{array}\right]+\left[\begin{array}{lll}
\vec{c} & \vec{d} & \vec{b}
\end{array}\right]$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.