A bug is moving with velocity (2i^−3j^+4k^) m/s in front of plane mirror which is also moving with velocity (2i^+j^+k^)m/s. Plane mirror always remain parallel to y-z plane. Velocity of image of bug is

Along x-axis in y – z planeV→i=2V→m−V→0=2i^ V→i=V→0=−3j^+4k^

A bug is moving with velocity (2i^−3j^+4k^) m/s in front of plane mirror which is also moving with velocity (2i^+j^+k^)m/s. Plane mirror always remain parallel to y-z plane. Velocity of image of bug is

Along x-axis in y – z planeV→i=2V→m−V→0=2i^ V→i=V→0=−3j^+4k^

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A bug is moving with velocity $(2 \hat{i} - 3 \hat{j} + 4 \hat{k})$ m/s in front of plane mirror which is also moving with velocity $(2 \hat{i} + \hat{j} + \hat{k})$ m/s. Plane mirror always remain parallel to y-z plane. Velocity of image of bug is

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$2 \hat{i} - 3 \hat{j} + 4 \hat{k}$

$- 2 \hat{i} - 3 \hat{j} + 4 \hat{k}$

$- 2 \hat{i} + 3 \hat{j} - 4 \hat{k}$

$2 \hat{i} + 3 \hat{j} - 4 \hat{k}$

answer is A.

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Detailed Solution

Along x-axis in y – z plane
${\vec{V}}_{i} = 2 {\vec{V}}_{m} - {\vec{V}}_{0} = 2 \hat{i}$
${\vec{V}}_{i} = {\vec{V}}_{0} = - 3 \hat{j} + 4 \hat{k}$

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A bug is moving with velocity (2i^−3j^+4k^) m/s in front of plane mirror which is also moving with velocity (2i^+j^+k^)m/s. Plane mirror always remain parallel to y-z plane. Velocity of image of bug is

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A bug is moving with velocity $(2 \hat{i} - 3 \hat{j} + 4 \hat{k})$ m/s in front of plane mirror which is also moving with velocity $(2 \hat{i} + \hat{j} + \hat{k})$ m/s. Plane mirror always remain parallel to y-z plane. Velocity of image of bug is