Answer to Question #3193 in Geometry for shiva

Question

Two vectors of magnitude p and 2p are acting at apoint, if p is made doubled 2p is increased by 10 units then the direction of the resultant remaining unaltered. Find the value of p?

Answer 1

If the the direction of the resultant is remaining unaltered, the ratio of two vectors before tranformation and after it is the same:
p/2p = 2p/(2p+10)
2p+10 = 4p
2p = 10
p = 5.