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Work Done as Dot Product

The angle bet...

Question

The angle between two vectors $\to A = 4^i + 3^j - 2^k$ and $\to B = - 8^i - 6^j + 4^k$ is :

A

π / 4

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B

π / 3

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C

π

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D

π / 2

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Solution

The correct option is A $π$
$θ = {cos}^{- 1} \frac{(- 32 - 18 - 8)}{\sqrt{29} \sqrt{116}} = {cos}^{- 1} \frac{(- 58)}{\sqrt{29} \sqrt{116}} = {cos}^{- 1} (1)$
$\Rightarrow θ = c o s π$
$\Rightarrow θ = π$

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