Explain rectangular components of a vector in a plane.
Answers
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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).
see the image
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.
