Q.

(A) : The minimum number of coplanar vectors whose sum can be zero is three.
(R) : The three vectors must be coplanar to produce equilibrium.

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a

(A) is true but (R) is false

b

Both (A) and (R) are true and (R) is the correct explanation of (A)

c

Both (A) and (R) are false

d

Both (A) and (R) are true and (R) is not the correct explanation of (A)

answer is B.

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Detailed Solution

Vector sum can be zero when two coplanar vectors are present, but they must have equal magnitudes. So, in order for them to create a triangle, we need one additional vector.
Thus, we need at least three unequal coplanar vectors whose vector sum can be equal to 0.

The three coplanar vector must form a triangle to give resultant equal to zero.

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(A) : The minimum number of coplanar vectors whose sum can be zero is three.(R) : The three vectors must be coplanar to produce equilibrium.