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• Statistics and Probability
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				   a unit vector in xy -plane that makes an angle of 45 degree with the vector  i+j and an angle of 60 degree with the vector 3i-4j is


6 years ago

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										Dear vikas
let vector b ai+bj
a.1+b.1 = 1*(2^0.5).cos45
= a+b =1
and a^2+b^2 = 1
=>(a+b)^2 - a^2-b^2 = 0
=>2ab = 0
so a=0 or b=0
so a=1,b=0
or a=0,b=1
a.3-b.4 = 5*cos60
=>3a-4b =5/2
either a=1 or b=1 doesnt suit.So there is no vector in xy-plane which satisfies given conditions

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6 years ago

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