Q.

The resultant of the three vectors OA→, OB→, and OC→ shown in figure is

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a

r

b

2r

c

r(1+2)

d

r(2−1)

answer is C.

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Detailed Solution

OC→ and OA→ are equal in magnitude and inclined to each other at an angle of 90∘ So their resultant is 2r. It acts midway between OC→ and OA→, i.e., along OB.Now, both r and 2r are along the same line and in the same direction.  Resultant =r+2r=r(1+2)
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