The vector 2 ,i + j - k is perpendicular to i - 4j + k, if = - Vidyadip

MCQ

The vector $2\,i + j - k$ is perpendicular to $i - 4j + \lambda k,$ if $\lambda = $

A
$0$
B
$-1$
✓
$-2$
D
$-3$

✓

Answer

Correct option: C.

$-2$

c
(c) $a.b = (2 - 4 - \lambda ) = 0 \Rightarrow \lambda = - 2.$

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