If A=3^i+4^j and B=7^i+24^j, the vector having the same magnitude as B and parallel to A is
5^i+20^j
15^i+10^j
20^i+15^j
15^i+20^j
|B|=√72+(24)2=√625=25 Unit vector in the direction of A will be ^A=3^i+4^j5 So required vector =25(3^i+4^j5)=15^i+20^j.
If →A = 3 ^i + 4 ^j and →B = 7 ^i + 24 ^j , find a vector having the same magnitude as →B and parallel to →A