The maximum and minimum magnitude of the resultant of two given vectors are 17 units and 7 units respectively. If these two vectors are at right angles to each other, the magnitude of their resultant is

Options

A. 14
B. 16
C. 18
D. 13

Answer

D

Explanation

`R_("max")= A+B= 17, theta= 0^(@)`
`R_("min")= A - B= 7, theta= 180^(@)`
A= 12, B= 5
If `theta= 90^(@), R= sqrt(A^(2) + B^(2))= sqrt(12^(2) + 5^(2))= 13`