The maximum value of the magnitude of the resultant of two vectors `vec P and vec Q` is 24 units and the minimum value of the magnitude of their resultant is 4 units. What is the ratio of the magnitudes of the vectors `vec P and vec Q` ?

Options

A. `(3)/(4)`
B. `(4)/(5)`
C. `(6)/(5)`
D. `(7)/(5)`

Answer

D

Explanation

The maximum and minimum values of the magnitudes of the resultant of two vectors `vec P and vec Q` are P+Q =24 and P-Q =4
`therefore 2P =28" "therefore P=14` units and Q=24 -14 =10 units
`therefore (P)/(Q) =(14)/(10) =(7)/(5)`