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Q.

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

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a

14

b

16

c

18

d

13

answer is D.

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Detailed Solution

Rmax = A+B = 17   when θ = 00Rmin=A-B = 7 when θ = 1800By solving we get A = 12  and B = 5Now when θ = 900 then R = A2+B2⇒R = (12)2+(5)2=169  = 13
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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