# 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:-

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