First slide
Vectors
Question

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

Moderate
Solution

From the figure, OB + BC = r

or q + BC = r      ... (i)

OA + AC =

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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