Physics, asked by luna0166, 6 months ago

a vector is rotated through angle theta.what is the magnitude of change in vector?
a) 2a cos (theta/2)
b) 2a sin (theta/2)
c) 2a cos theta
d) 2a sin theta​

Answers

Answered by lakshmigangadhar1986
1

Answer:b

Explanation:

Let a1 and a2 denotes the initial and final vectors and c denotes change in vector

C=a2-a1

|c|=√(a1suare+a2square-2a1a2costheta)

One rotation the magnitude of vectors does not change only its direction changes

|c|=√(a^2+a^2-2a^2costheta)

=√(2a^2-2a^2costheta)

√2a^2(1-costheta)

= √2a^2(2sin^2theta/2)

=2a sin theta/2

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