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?
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