explain 'Resolution of vectors' with its expression.
Answers
Explanation:
Vector resolution is a process where one vector is broken down into two or more smaller vectors. This includes the process where one vector is broken into two components, which was discussed in much more detail in another lesson.
Vectors and Vector Addition
Motion in a Plane
Resolution of Vectors and Vector Addition
In contrast to the concept of addition, the concept of resolution of vectors could be well understood. For say, in the process of addition, let’s consider
→
a
and
→
b
are directly added to get
→
S
. Now, let
→
S
be broken down to obtain
→
a
and
→
b
back. This is referred to as the process of resolution. Let us study the chapter resolution of vectors and vector addition in detail.
Resolution of Vectors
A vector can be resolved into many different vectors, for resolution of vectors. For Example: Let us consider two numbers, say, 4 and 6, which is further added to obtain 10. Further, now 10 is broken or resolved. However, the number 10 can also be resolved into many other numbers like –10 = 5 + 5; 10 = 3 + 7 etc.
In a similar way, a vector can essentially be further broken or resolved to obtain multiple vectors of different magnitudes and directions. In Physics, vectors would be mainly resolved only along the coordinate axes, X, Y, and Z.