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If a^2+b^2+c^2=1, then prove that |[a^...

If `a^2+b^2+c^2=1,` then prove that `|[a^2 +(b^2+c^2)cosθ, ab(1−cosθ), ac(1−cosθ)],[ba(1−cosθ),b^2(c^2+a^2)cosθ,bc(1−cosθ)],[ca(1−cosθ),cb(1−cosθ),c^2+(a^2+b^2)cosθ]|` independent of a,b,c?

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