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Q.

To get a resultant displacement of 10 m, two displacement vectors, one of magnitude 6 m and another of 8 m, should be combined :

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a

parallel

b

antiparallel

c

at an angle 60o

d

perpendicular to each other

answer is D.

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Detailed Solution

A→+B→=A2+ B2+2ABcosθ
⇒ 10= 62+ 82+ 2(6)(8)cosθ 

⇒ cosθ=0

⇒θ=π/2

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To get a resultant displacement of 10 m, two displacement vectors, one of magnitude 6 m and another of 8 m, should be combined :