Q.

Which of the following quantities is dependent of the choice of orientation of the coordinate axes?

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a

A→+B→

b

Ax+By

c

|A→+B→|

d

Angle between A and B

answer is B.

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Detailed Solution

A vector, its magnitude and the angle between two vectors do not depend on the choice of the orientation of the coordinate axes. So A→+B→, |A→+B→| angle between A→ and B→ are independent of the orientation of the coordinate axes.But the quantity Ax+By depends upon the magnitude of the components along x and y-axes, so it will change with change in coordinate axes.
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