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The maximum and minimum magnitudes 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: Option D
:
D
Rmax = A + B = 17 when θ = 0
Rmin = A - B = 7 when θ = 180
by solving we get A = 12 and B = 5
Now when θ = 90 then R = A2+B2
R=(12)2+(5)2 = 169 = 13

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