Question

If p=2i-j and Q=3i+4j, find a vector which has the magnitude of P and Is parallel to Q?

Answer 1

p = 2i - j            | p | = √2² + (-1)²  = √5
q = 3 i + 4 j        |q | = √3²+ 4² = 5
q / |q| is a unit vector of magnitude = 1 and direction same as q (parallel to q)
vector needed =    q * | p |   /  | q |      has the magnitude of vectpr p & parallel to q
       = (3 i + 4 j ) √5 / 5  = i 3/√5 + j 4/√5