The angle between vectors vec a and vec b is | vedclass

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(D) The angle between two vectors $\vec A$ and $\vec B$ is defined as the angle between their directions. Multiplying a vector by a positive scalar do

Vedclass · Accepted Answer

$\frac{5\pi }{6}$

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(D) The angle between two vectors $\vec A$ and $\vec B$ is defined as the angle between their directions. Multiplying a vector by a positive scalar does not change its direction. Multiplying a vector by a negative scalar reverses its direction (i.e.,rotates it by $\pi$ radians or $180^\circ$). Given the angle between $\vec a$ and $\vec b$ is $	heta = \frac{\pi }{6}$. The vector $-3\vec a$ is in the opposite direction to $\vec a$. The vector $2\vec b$ is in the same direction as $\vec b$. Therefore,the angle between $-3\vec a$ and $2\vec b$ is $\pi - 	heta = \pi - \frac{\pi }{6} = \frac{5\pi }{6}$.

The angle between vectors $\vec a$ and $\vec b$ is $\frac{\pi }{6}$. The angle between vectors $-3\vec a$ and $2\vec b$ is

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