Which of the following quantity/quantities ar | vedclass

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(A) vector quantity is independent of the choice of the coordinate system. The sum or difference of vectors,such as $\vec{a}+\vec{b}$ or $(\vec{a}+\ve

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Only $(b)$

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(A) vector quantity is independent of the choice of the coordinate system. The sum or difference of vectors,such as $\vec{a}+\vec{b}$ or $(\vec{a}+\vec{b}-\vec{c})$,results in a new vector,which is a physical quantity independent of the coordinate axes orientation.However,components of a vector (like $a_x$ or $b_y$) depend on the orientation of the coordinate axes. Therefore,the expression $3a_x+2b_y$ involves specific components and will change if the axes are rotated.Thus,only $(b)$ is dependent on the choice of orientation of the coordinate axes.

Which of the following quantity/quantities are dependent on the choice of orientation of the co-ordinate axes?
$(a)$ $\vec{a}+\vec{b}$
$(b)$ $3a_x+2b_y$
$(c)$ $(\vec{a}+\vec{b}-\vec{c})$

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Which of the following quantity/quantities are dependent on the choice of orientation of the co-ordinate axes?$(a)$ $\vec{a}+\vec{b}$$(b)$ $3a_x+2b_y$$(c)$ $(\vec{a}+\vec{b}-\vec{c})$