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If \( \overrightarrow a \: and \: \overrightarrow b\) are two vectors such that \( | \overrightarrow a. \overrightarrow b| = | \overrightarrow a\) x \( \overrightarrow b |\), then what is the angle between \( \overrightarrow a \: and \: \overrightarrow b\)?

$\begin{array}{1 1}\text{a. $\theta = 4$} \\ \text{b. $\theta = n$} \\ \text{c. $\theta = \frac {4}{n}$} \\ \text{d. $ \theta = \frac {n}{4}$} \end{array} $

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1 Answer

Given : \( | \overrightarrow a. \overrightarrow b| = | \overrightarrow a\) x \( \overrightarrow b |\)
$| \overrightarrow a. \overrightarrow b| cos \theta = | \overrightarrow a| | \overrightarrow b| sin \theta $
$ cos \theta = sin \theta $
$ \theta = \frac {n}{4}$
answered Feb 16 by suganyadevi.p
 

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