# 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}$} \end{array}$

## 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, 2017
edited Nov 30, 2017 by meena.p

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