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Question

Two equal vectors have a resultant equal to either of them, then the angle between them will be

A
110o
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B
120o
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C
60o
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D
150o
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Solution

The correct option is A 120o

Applying the formula:

R2=P2+Q2+2PQcosα

P2=P2+P2+2PPcosα

=2P2+2P2cosα=2P2(1+cosα)


1+cosα=12

2cos2α2=12

cos2α2=14

cosα2=12=cos60o

α2=60oα=120o


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