Question

Maximum and minimum magnitudes of the resultant of two vectors of magnitude P vector and Q vector are in ratio 3:1. Find the relation between P vector and Q vector.

Answer 1

Answer:

Maximum value happens when two vectors are parallel

then

S = P + Q

minimum value happens when they are anti parallel (opposing) to each other

D = P - Q

given

$\frac{P+Q}{P-Q} = \frac{3}{1} \\\\1(P+Q) = 3(P-Q)\\\\2P = 4Q \\\\P:Q = 2:1$

P is double of Q