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A and B are two unit vector both are perpendicular to each other. Given that vector x=vector b-vector(a×x) what is the magnitude of X vector ?

A and B are two unit vector both are perpendicular to each other. Given that vector x=vector b-vector(a×x) what is the magnitude of X vector ?

Grade:12th pass

1 Answers

Prakriti Arora
11 Points
4 years ago
|a|=1; |b|=1since a and b are perpwndicular to each other.. therefore a.b=0 =>|a||b|cos(theeta)=0 =>cos(theeta)=0 =>theeta=π\2now x=b-(aXx) =>|x|=|b|-|a||x|sin(π\2) =>|x|=1-|a||x| =>|x|+|a||x|=1 =>|x|[1+1]=1 =>|x|=1/2...ans

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