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The maximum value of the magnitude of th...

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` ?

A

`(3)/(4)`

B

`(4)/(5)`

C

`(6)/(5)`

D

`(7)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
D
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)`
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