Question

find the vectors of magnitude 5 units which are parallel to the vectors 2vectors of i - vector of j

Answer 1

given vector is 2i - j

so it's magnitude is = √(2^2 + (-1)^2)  = √5

so unit vector along it is = 2/√5 i - 1/√5 j

hence vector of magnitude 5  parallel to it = 5 * (2/√5 i - 1/√5 j)
                                                                   = 2√5 i - √5 j