First slide

Vectors

Question

If $\large \overrightarrow P = 2\widehat i + 3\widehat j - 4\widehat k$ and $\large \overrightarrow Q = 5\widehat i + 2\widehat j + 4\widehat k$ .Find the angle between the two vectors.

Moderate

A

30⁰
B

45⁰
C

60⁰
D

90⁰

Solution

$\cos \theta = \frac{{\vec P.\vec Q}}{{\left| {\vec P} \right|\left| {\vec Q} \right|}}$
$\Rightarrow \vec P.\vec Q = 10 + 6 - 16 = 0$
$\cos \theta = 0 \Rightarrow \theta = {90^0}$

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