(a) Define the term "rectangular component" of a vector lying in a plane. (b) With…
PHYSICS · Subjective · CBSE · Physics · Motion in a Plane · Motion in a Plane
Problem
(a) Define the term "rectangular component" of a vector lying in a plane.
(b) With the aid of a neat labelled sketch, describe how any vector in two-dimensional space can be represented completely by its two mutually perpendicular rectangular components.
(c) A vector A has components Ax along the x-axis and Ay along the y-axis. Starting from the right-angled triangle formed by these components, show that the magnitude of the vector is given by A=Ax2+Ay2.
(d) If the magnitude of the vector is 13units and its x-component is 5units, calculate:
(i) the y-component, and
(ii) the angle that the vector makes with the positive x-axis (answer correct to the nearest degree).