What is the angle between (overrightarrow P + | vedclass

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(B) The vector sum $(\overrightarrow P + \overrightarrow Q)$ lies in the plane formed by the vectors $\overrightarrow P$ and $\overrightarrow Q$.By th

Vedclass · Accepted Answer

$\frac{\pi}{2}$

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(B) The vector sum $(\overrightarrow P + \overrightarrow Q)$ lies in the plane formed by the vectors $\overrightarrow P$ and $\overrightarrow Q$.By the definition of the vector product (cross product),the resultant vector $(\overrightarrow P 	imes \overrightarrow Q)$ is always perpendicular to the plane containing both $\overrightarrow P$ and $\overrightarrow Q$.Since $(\overrightarrow P + \overrightarrow Q)$ lies in the plane and $(\overrightarrow P 	imes \overrightarrow Q)$ is perpendicular to the plane,the angle between them is $90^{\circ}$ or $\frac{\pi}{2}$ radians.

What is the angle between $(\overrightarrow P + \overrightarrow Q)$ and $(\overrightarrow P \times \overrightarrow Q)$?

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