First slide

Dot product or scalar product of vectors

Question

$Line \vec{r} = \vec{a} + λ \vec{b} will not meet the plane \vec{r} \cdot \vec{n} = q, if$

Moderate

A

$\vec{b} \cdot \vec{n} = 0, \vec{a} \cdot \vec{n} = q$
B

$\vec{b} \cdot \vec{n} \neq 0, \vec{a} \cdot \vec{n} \neq q$
C

$\vec{b} \cdot \vec{n} = 0, \vec{a} \cdot \vec{n} \neq q$
D

$\vec{b} \cdot \vec{n} \neq 0, \vec{a} \cdot \vec{n} = q$

Solution

$We must have \vec{b} \cdot \vec{n} = 0 (because the line and the plane must$
$be parallel) and \vec{a} \cdot \vec{n} \neq q (as point \vec{a} on the line should not lie on the plane).$

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