how can a vector be determined if its rectangular components are known?
Answers
Explanation:
Rectangular components of a vector: If the components of a given vector are perpendicular to each other, they are called as Rectangular components. The figure illustrates a vector →A represented by →OP. Through the point, O two mutually perpendicular axis X and Y are drawn.
RECTANGULAR COMPONENTS:
The parts of a vector resolved into vertical and horizontal vector are rectangular components. Rectangular components are perpendicular to each other.
Draw the X-Y axis for rectangular components as in figure (1).
From figure (1), it represents a resultant vector on point . Through point O, it separates two components in X and Y direction axis. The two components are and on vector point ON and OM respectively. From point P draw two lines in X and Y axis as PM and PN.
The triangle law of vectors can be applied on a triangle ONP.
Where, the components of A are Ax in X-direction and Ay in Y-direction.
From triangle ONP find the value of cos q and sin q.
Add equations (1) and (2) and square it both sides.
Write the magnitude of given vector A.