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MHT CET 2020 (16 Oct, Shift 1) · Addition & Subtraction of Vectors

Addition & Subtraction of Vectors question from MHT CET 2020 (16 Oct, Shift 1)

Q24MHT CET 2020 · 16 OCT · SHIFT 1Easy

Addition & Subtraction of Vectors

Two vectors of same magnitude have a resultant equal to either of the two vectors. The angle between two vectors is

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Answer: (a)

$R^2 = A^2 + A^2 + 2A^2\cos\theta$ with $R = A$ .
$A^2 = 2A^2(1 + \cos\theta) \Rightarrow \cos\theta = -\frac{1}{2}$
So the answer is (a) $\cos^{-1}(-0.5)$ , i.e. $120^\circ$ .

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