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  • Which of the following quantity is dependent of the choice of orientation of the coordinate axes? Option: 1 <img alt="\vec{A}+\vec{B}"

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

Option: 1

\vec{A}+\vec{B}


Option: 2

{{A}_{x}}+{{B}_{y}}


Option: 3

\left| \vec{A}+\vec{B} \right|


Option: 4

Angle between \vec{A} \And \vec{B}


Answers (1)

best_answer

The magnitude and the angle between two vectors do not depend upon the choice of the orientation of the coordinate axes. So, \vec{A}+\vec{B}, \left| \vec{A}+\vec{B} \right| Angle between \vec{A}\And \vec{B}are independent of the orientation of the coordinate axes.

But the quantity  {{A}_{x}}+{{B}_{y}} depends upon the magnitude of the components along x and y axes, so it will change with a change in coordinate axes.

 

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