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## Homework Statement

A little assistance with this question:-

A vector, B, when added to the vector C = 3i + 4j yields a resultant vector which is in the positive y direction and has a magnitude equal to that of C. What is the magnitude of B?

## Homework Equations

## The Attempt at a Solution

i found the magnitude of C to be 5 i.e.

sqrt(3^2 + 4^2)= 5

since the question says this magnitude is equal to that of the resultant vector and taking the unit vector of B to be (x)i + (y)j; i equated it to 5 so i can try to solve for x and y i.e

(x+3)i + (y+4)j = 5

this is where i got stuck..

please any help will be very appreciated .. thanks