Question

A situation may be described by using different sets of co-ordinate axes having different orientations. Which of the following do not depend on the orientation of the axes -
(a) The value of a scalar
(b) Component of a vector
(c) A vector
(d) The magnitude of a vector

• A. a, d
• B. a, b, d
• C. a, b, c
• D. a, c, d

Answer 1

Answer: (D)

a, c, d

Sets of co-ordinate axes are simply lines of references to describe the position and orientation of vectors or similar things. Their orientations can not change (a) the value of scalar, (b) a vector or (d) the magnitude of a vector. But when a vector is resolved along axes, the component is dependent on the angle between vector and the axis along which it is being resolved. This angle will vary if the orientation of axes is changed. So component of a vector will depend upon orientation of the axes.