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Sir pl solve qs no-5

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Asked by shobhit 6th September 2018, 8:51 AM
Answered by Expert
Answer:
Angle between u and i is 60, we have
u.i=|u||i|cos 60 = |u|/2........(1)
|u|,|u-i|,|u-2i| are in GP, so
|u-i|2=|u|.|u-2i|
squaring both sides
[|u|2+|i|- 2.u.i]2=|u|2.[|u|2+4|i|- 4.u.i]
[|u|2+1- 2.|u|/2]2=|u|2.[|u|2+4 - 4.|u|/2]......from (1) and i is a unit vector
expand the identities, 
|u|2+2.|u|- 1 = 0 or |u|2=-(2±2√2)/2
|u|= √2-1

Answered by Expert 20th September 2018, 11:42 AM
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