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The angles between three non-zero and non coplanar vectors a,b and c are
α between b and c
and β between c and a
and γ between a and b.
The vector u and v are defined by u=(aXb)Xc;
v=aX(bXc).
If u is perpendicular to v, then show that either
a is perpendicular to c
or cosβ=cosα.cosγ .
on solving weget vector u=c((vector b)acosb)-b(vector a)cosa)) & vector v=a((vector b)ccosb-(vector c)bcosg). then take dot product of vector u&v & then we get cosb=cosacosg
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