If the vectors 2i - j + k, , ,i + 2j - 3k and 3i + j + 5k be copl… - Vidyadip

MCQ

If the vectors $2i - j + k,\,\,i + 2j - 3k$ and $3i + \lambda j + 5k$ be coplanar, then $\lambda = $

A
$-1$
B
$-2$
C
$-3$
✓
$-4$

✓

Answer

Correct option: D.

$-4$

d
(d) If the given vectors are coplanar, then their scalar triple product is zero.

$\left| {\begin{array}{*{20}{c}}2&{ - 1}&1\\1&2&{ - 3}\\3&\lambda &5\end{array}} \right| = 0 \Rightarrow \lambda = - 4.$

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