Question

A situation may be described by using different sets coordinate axes having different orientation. Which the following do not depended on the orientation of the axis?
(a) the value of a scalar
(b) component of a vector
(c) a vector
(d) the magnitude of a vector.

Answer 1

A situation may be described by using different sets of coordinate axes having a different orientation. The one that does  not depend on the orientation of the axis is

(c) a vector

• The reason behind this is that the components of a vector depend on the orientation of the axes when the vector is resolved along axes.

• Upon resolving, the component is dependent on the angle formed between the vector and the axis along which it is being resolved.

• Also, this angle varies if the orientation of axes is changed. Thus the component of a vector will depend upon orientation its axis.

Answer 2

A vector, the scalar value and the vector’s magnitude do not depend on the orientation of the axis.

Explanation:

• It is to be noted that the orientation of the axes is not dependent on the vector components.
• However, the vector, the scalar value and the vector’s magnitude is not dependent on the given coordinate axes set with various orientation.

• The object in the space is fully explained by the orientation and the location.

Therefore the correct answer is Option (a) the value of a scalar,(c)  a vector and (d) the magnitude of a vector.