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Q.

A vector large 3hat i+4hat j rotates about its tail through an angle 37o in anticlockwise direction then the new vector is

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a

large - 3hat i + 4hat j

b

3hat i - 4hat j

c

5hat j

d

5hat i

answer is C.

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Detailed Solution

overline A = 3widehat i + 4widehat j;;left| {overline A } right| = sqrt {25} = 5
The direction of vector with x-axis is Q = Tan-1(4/3) = 530
therefore Total angle is 900 in anticlock wise direction means new vector is along y-axis i.e. = 5hat j

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