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The maximum and minimum magnitude of the...

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

A

14

B

16

C

18

D

13

Text Solution

Verified by Experts

The correct Answer is:
D
`R_(max)=A+B=17` whten `theta=0^(@)`
`R_(min)=A-B=7` when `theta=180^(@)`
By solving we get `A=12` and `B=5`
Now when `theta=90^(@)` then `R=sqrt(A^(2)+B^(2))`
`impliesR=sqrt((12)^(2)+(5)^(2))=sqrt(169)=13`
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