What do you mean by resolution of a vector? What are the resolved parts called? Discuss a method to resolve a vector into two vectors in given direction?
The process of splitting up the vector into two or more vectors so that combined effect of the resultant vector is same as that of the given vectors.
The vectors into which a given vector is split is called component of vector.
The components of a vector are also vectors.
Let us resolve vector
into two vectors in the direction of
Draw a line from P parallel to vector
and another line from Q, paralle to vector B.
We can see that the two lines intersect at point S.
So, we can write,
Therefore, using triangle law of vector addition to vectors
, we get
Therefore, these are the resolved components of vector
in the direction of