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Questions  

Figure shows three vectors p, q and r, where C is the mid-point of AB. Then, which of the following relation is correct?

a
p + q = 2r
b
p + q = r
c
p - q = 2r
d
p - q = r

detailed solution

Correct option is A

From the figure, OB + BC = ror q + BC = r      ... (i)OA + AC = r or p + AC = r      ... (ii)Adding these two equations, we get,p + q = 2r, as AC and BC are equal and opposite vectors.

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