Suppose that two objects A and B are moving with velocities `vecv_(A)` and `vecv_(B)` (each with respect to some common frame of refrence). Let `vecv_(AB)` represent the velocity of with respect to B. Then

Suppose that two objects A and B are moving with velocities vecv_(A) and vecv_(B) (each with respect to some common frame of reference). Let vecv_(AB) represent the velocity of A with respect to B. Then

Two bodies A and B are moving with velocities vecv_A and vecv_B respectively, making an angle theta with each other. Find the magnitude and direction of relative velocity of B with respect to A.

STATEMENT -1 : For an observer looking out through the window of a fast moving train , the nearby objects appear to move in the opposite direction to the train , while the distant objects appear to be stationary . STATEMENT - 2 : If the observer and the object are moving at velocities vec v_(1) and vec v_(2) respecttively with refrence to a laboratory frame , the velocity of the object with respect to a laboratory frame , the velocity of the object with respect to the observer is vecv_(2) - vecv(1) .

STATEMENT -1 : For an observer looking out through the window of a fast moving train , the nearby objects appear to move in the opposite direction to the train , while the distant objects appear to be stationary . STATEMENT - 2 : If the observer and the object are moving at velocities vec v_(1) and vec v_(2) respecttively with refrence to a laboratory frame , the velocity of the object with respect to a laboratory frame , the velocity of the object with respect to the observer is vecv_(2) - vecv(1) . (a) Statement -1 is True, statement -2 is true , statement -2 is a correct explanation for statement -1 (b) Statement 1 is True , Statement -2 is True , statement -2 is NOT a correct explanation for statement -1 (c) Statement - 1 is True , Statement -2 is False (d) Statement -1 is False, Statement -2 is True

STATEMENT -1 : For an observer looking out through the window of a fast moving train , the nearby objects appear to move in the opposite direction to the train , while the distant objects appear to be stationary . STATEMENT - 2 : If the observer and the object are moving at velocities vec v_(1) and vec v_(2) respecttively with refrence to a laboratory frame , the velocity of the object with respect to a laboratory frame , the velocity of the object with respect to the observer is vecv_(2) - vecv(1) . (a) Statement -1 is True, statement -2 is true , statement -2 is a correct explanation for statement -1 (b) Statement 1 is True , Statement -2 is True , statement -2 is NOT a correct explanation for statement -1 (c) Statement - 1 is True , Statement -2 is False (d) Statement -1 is False, Statement -2 is True

STATEMENT -1 : For an observer looking out through the window of a fast moving train , the nearby objects appear to move in the opposite direction to the train , while the distant objects appear to be stationary . STATEMENT - 2 : If the observer and the object are moving at velocities vec v_(1) and vec v_(2) respecttively with refrence to a laboratory frame , the velocity of the object with respect to a laboratory frame , the velocity of the object with respect to the observer is vecv_(2) - vecv(1) . (a) Statement -1 is True, statement -2 is true , statement -2 is a correct explanation for statement -1 (b) Statement 1 is True , Statement -2 is True , statement -2 is NOT a correct explanation for statement -1 (c) Statement - 1 is True , Statement -2 is False (d) Statement -1 is False, Statement -2 is True

Assertion: For a observer looking out through the window of a fast moving train, the nearby objects appear to move in the opposite direction to the trains, while the distant objects appear to be stationary Reason: the observer and the object are moving at velocities v_1 and v_2 respectively with reference to a laboratory frame, the velocity of the object with respect to the observer is vecv_1 - vecv_2 .