If a variable line in two adjacent positions has direction cosines l,m – InterviewSolution

1.	If a variable line in two adjacent positions has direction cosines l,m,n and l+δl,m+δm,n+δn, then show that the small angle δθ between the two positions is given by δθ2=δl2+δm2+δn2.
Answer» If a variable line in two adjacent positions has direction cosines l,m,n and $l + δ l, m + δ m, n + δ n$ , then show that the small angle $δ θ$ between the two positions is given by $δ θ^{2} = δ l^{2} + δ m^{2} + δ n^{2} .$

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