Q 4. 22 and are unit vectors along x- and y- axis respectively. What is the magnitude and direction of the vectors , and ? What are the components of a vector along the directions of and ? [You may use graphical method]
Let A be a vector such that:-
Then the magnitude of vector A is given by :
Now let us assume that the angle made between vector A and x-axis is .
Then we have:-
Similarly, let B be a vector such that:-
The magnitude of vector B is :
Let be the angle between vector B and x-axis :
Now consider :-
Then the required components of a vector C along the directions of is:-
and the required components of a vector C along the directions of is:-