Mathematics · 2020
JEE Main · 8 January 2020, Shift 1 · Q66
Let the volume of a parallelopiped whose coterminous edges are given by u = i + j +λ k, v = i + j +3 k and w =2 i + j + k be 1 cu. unit. If θ be the…
Let the volume of a parallelopiped whose coterminous edges are given by
$$\begin{aligned}
& \overrightarrow{\mathrm{u}}=\hat{i}+\hat{j}+\lambda \hat{k}, \overrightarrow{\mathrm{v}}=\hat{i}+\hat{j}+3 \hat{k} \text { and } \\
& \overrightarrow{\mathrm{w}}=2 \hat{i}+\hat{j}+\hat{k} \text { be } 1 \text { cu. unit. If } \theta \text { be the } \\
& \text { angle between the edges } \overrightarrow{\mathrm{u}} \text { and } \overrightarrow{\mathrm{w}}, \text { then } \\
& \cos \theta \text { can be : }
\end{aligned}
$$
Official answer
(3)
$\displaystyle \frac{7}{6 \sqrt{3}}$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.