If $ heta$ is the angle between $\mathbf{a}$ and $\mathbf{b}$ and $|\mathbf{a} imes \mathbf{b}|=|\mathbf{a} \cdot \mathbf{b}|$, then $ heta$ is equal to

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If $	heta$ is the angle between $\mathbf{a}$ and $\mathbf{b}$ and $|\mathbf{a} 	imes \mathbf{b}|=|\mathbf{a} \cdot \mathbf{b}|$, then $	heta$ is equal to

Aicharya · Accepted Answer

Given that, $|\mathbf{a} 	imes \mathbf{b}|=\mid \mathbf{a} \cdot \mathbf{b}$ $\begin{aligned} \Rightarrow & & |\mathbf{a}||\mathbf{b}||\sin 	heta| & =|\mathbf{a}||\mathbf{b}||\cos 	heta| \ & \Rightarrow & 	an 	heta & =1 \ & \Rightarrow & 	heta & =\frac{\pi}{4}\end{aligned}$

If $\theta$ is the angle between $\mathbf{a}$ and $\mathbf{b}$ and $|\mathbf{a} \times…

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