A vector A is rotated by a small angle radians ( 1) to get a new vector B. In that case | B - A | is:

JEE Main 2015 Physics question

Physics Motion in a Plane JEE Main 2015

A vector is rotated by a small angle radians () to get a new vector . In that case is:

(1)
(2)0
(3)Correct
(4)

Answer: (3)

Solution

A pure rotation does not change the length of a vector, so . Place the two vectors tail to tail with angle between them; is the chord joining their tips. For an isosceles triangle with two sides and included angle , the

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Question ID VK-115314