The resultant of two vectors and is perpendicular to and its magnitude is half that of . The angle between vectors and is

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Solution

Q.
The resultant of two vectors $\vec{A}$ and $\vec{B}$ is perpendicular to $\vec{A}$ and its magnitude is half that of $\vec{B}$ . The angle between vectors $\vec{A}$ and $\vec{B}$ is ____ . [2024]

Ans.
(150)

$B \cos θ = \frac{B}{2} \Rightarrow θ = 60 °$

So, angle between $\vec{A}$ and $\vec{B}$ , $= 90 ° + 60 ° = 150 °$

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