Question

If A=3i+4j and B=7i+24j then find the vector having the same magnitude as B and same direction as A.

Answer 1

Let the new vector be C=xi+yj
Given,
|C|=|B|
    =√49+576
    =25
Also,
A and C have same directions,so
∴A(cap) = C(cap)   { A(cap) means unit vector of A}
⇒(3i+4j)/(√9+16) = (xi+yj)/|C|
⇒(3i+4j)/5 = (xi+yj)/25
⇒xi+yj=15i+20j
Hence, the new vector C=15i+20j

Answer 2

see attachment..I hope u will like my work......