Question

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

• A. Only(b)
• B. Both (a) & (b)
• C. Both (a) & (c)
• D. Both (b) & (c)

Answer 1

The correct option is A Only(b)

Options (a) and (c) are constant vectors and are independent of choice of coordinate system.

However, option (b) has variables that depend on the values of the coordinates. Hence, it is dependent on the choice of coordinate system and will be different in different coordinate system.