Question

VECTOR ADDITION – ANALYTICALMETHOD​

Answer 1

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$\huge\star\mathfrak\red{{Answer:-}}$

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Although the graphical method of adding vectorshelps us in visualising the vectors and theresultant vector, it is sometimes tedious and haslimited accuracy. It is much easier to add vectorsby combining their respective components.Consider two vectors A and B in x-y plane with

components Ax, Ay and Bx, By :A i j

Let R be their sum. We have

R = A + B

Thus, each component of the resultant

vector R is the sum of the corresponding

components of A and B.This method can be extended to addition andsubtraction of any number of vectors

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Answer 2

Answer:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Although the graphical method of adding vectorshelps us in visualising the vectors and theresultant vector, it is sometimes tedious and haslimited accuracy. It is much easier to add vectorsby combining their respective components.Consider two vectors A and B in x-y plane with

components Ax, Ay and Bx, By :A i j

Let R be their sum. We have

R = A + B

Thus, each component of the resultant

vector R is the sum of the corresponding

components of A and B.This method can be extended to addition andsubtraction of any number of vectors

~~~~~~~~~~~~~~~~~~~~~~~~~~