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.