The process of splitting a vector into two or more vectors in such a way that their combined effect is same as that of the given vector called-

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CONCEPT:

• Resolution of vectors is the process of splitting a vector into two or more vectors in such a way that their combined effect is the same as that of the given vectors.
  • The vectors into which the given vector is split are called Components of vectors.

EXPLANATION​

• Resolution of vectors into components: We have a vector (F) where the magnitude of the vector is F and the angle with horizontal is θ.

The vector has two components: 1. Vertical component and 2. Horizontal component

Vertical component (Fy) = F Sinθ

Horizontal component (Fx) = F Cosθ 

If Ax, Ay, Az are the rectangular component of \(\vec A\)and î,ĵ and k̂ are the unit vector along X, Y, and Z axes respectively.

\(\vec A\)= Ax î+  Ayĵ + A zk̂ 

|\(\vec A\)| = \(\sqrt{A_x^2+ Ay^2 + A z^2 }\)