If A=3i^+4j^ and B=7i^+24j^, the vector having the same magnitude as B and parallel to A is
5i^+20j^
15i^+10j^
20i^+15j^
15i^+20j^
A vector parallel to A will be n A or (3ni^+4nj^)
Now, |nA|=|B| is given.
n = 5
nA=15i^+20j^