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Resolution of a vector is the splitting of a single vector into two or more vectors in different directions which together produce a similar effect as is produced by a single vector itself. The vectors formed after splitting are called component vectors.

Consider the following vector r; the vector r can be resolved into horizontal and vertical components. These two components add up to give us the resultant vector, i.e. vector r.

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.

The process of splitting a vector into its components is called resolution of the vector. The components, when added vectorially, will yield the same vector. Generally, we resolve a vector into three components viz. component along the x-axiscalled x-component. component along the y-axis called y-component.

As per the parallelogram law of addition of vectors, for two given vectors u and v enclosing an angle ?, the magnitude of the sum, |u + v|, is given by ?(u2+v2+2uvcos(?)).

Trigonometric Method of Vector Resolution The trigonometric method of vector resolve entails using trigonometric functions to ascertain the elements of the vector. It explained how to use trigonometric functions to determine a vector's direction. ... For example, x=vcos? We know that,

Resolution of a vector is the process of splitting up a vector (force) into two perpendicular component parts. They are called rectangular components because the two component forces are mutually perpendicular. Therefore the horizontal component of the force R is Rcos?.

Class 11 Physics Chapter 4 : VECTOR 04 RESOLUTION OF VECTOIR AND ADDITION OF THREE VECTORS - YouTube.