Range

unit vectors a and b are perpendicular to each other and unit vector c is inclined at angle θ to both a and b.If c=m(a+b)+n(axb) and m,n are real.Find range of θ

I have found m=cosθ...and nothing else..help me out

3 Answers

62
Lokesh Verma ·

minimum will be 45 and maximum will be 135 ?

Think in terms of pure geometry..

24
eureka123 ·

ya it is...but how to do it properly ??

i mean vector method...

62
Lokesh Verma ·

|c| = √m2+m2+n2

Take dot product of c with a....
Now can you finish it??

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