If the points a(cosα+isinα) , b(cosβ+isinβ) and c(cosγ+isinγ) are collinear then the value of |z| is: ( where z=bcsin(β−γ)+casin(γ−α)+absin(α−β)+3i−4k )
A
2
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B
5
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C
1
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D
None of these.
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Solution
The correct option is B5
Given a=cosα+isinα=eiα , b=cosβ+isinβ=eiβ and c=cosγ+isinγ=eiγ