Answer
Yes , we can say that if the magnitude is double without changing the direction, the components have doubled.
Work Step by Step
Let A is the vector , and x and y are it's components .
The magnitude of A is equal to square root of x square plus y square
Now doubling the magnitude means multiple 2 with the square root of x square plus y square
Now when this 2 come inside the square root it makes the components double .
Hence we can say that if the magnitude is double without changing it's direction, the components have doubled.
