The magnitude of vectors u and v is .

The vectors makes an angle with the positive x-axis is .

The vector u makes an angle with the positive x-axis is .

Substitute and in the above expression.

Then the component form of the vector u is.

The vector v makes an angle with the positive x-axis is .

Substitute and in the above expression.

Then the component form of the vector v is.

Find .

The sum of the vectors u and v is

Then the component of is .

The component of is .