Q.

Six vectors a→  through  f^ have the magnitudes and directions indicated in the figure. Which of the following statements is true?

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a

b→ +c→= f→

b

d→ +c→= f→

c

d→ +e→= f→

d

b→ +e→= f→

answer is C.

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Detailed Solution

If two non-zero vectors are represented by the two adjacent sides of a parallelogram, then the resultant is given by the diagonal of the parallelogram passing through the point of intersection of the two vectors.∴  d→ +e→ = f→
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Six vectors a→  through  f^ have the magnitudes and directions indicated in the figure. Which of the following statements is true?