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Q.

What is the angle between two vector forces of equal magnitude such that their resultant is one-third of either of the original forces?

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a

cos−1 −1718

b

cos−1 −13

c

45o

d

120o

answer is A.

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Detailed Solution

132=12+12+2×1×1cos⁡θor    19=2(1+cos⁡θ) or 1+cos⁡θ=118or    cos⁡θ=118−1=−1718 or θ=cos−1⁡−1718
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What is the angle between two vector forces of equal magnitude such that their resultant is one-third of either of the original forces?