If two lines L1 and L2 are having direction cosines \(l_1,m_1,n_1 \,and \,l_2,m_2,n_2\) respectively, then what is the angle between the two lines?(a) cot⁡θ=\(\left |l_1 \,l_2+m_1 \,m_2+n_1 \,n_2\right |\)(b) sin⁡θ=\(\left |l_1 \,l_2+m_1 \,n_2+n_1 \,m_2\right |\)(c) tan⁡θ=\(\left |l_1 \,l_2+m_1 \,m_2+n_1 \,n_2\right |\)(d) cos⁡θ=\(\left |l_1 \,l_2+m_1 \,m_2+n_1 \,n_2\right |\)The question was asked during an interview.Query is from Three Dimensional Geometry topic in portion Three Dimensional Geometry of Mathematics – Class 12

If two lines L1 and L2 are having direction cosines \(l_1,m_1,n_1 \,an

1.	If two lines L1 and L2 are having direction cosines \(l_1,m_1,n_1 \,and \,l_2,m_2,n_2\) respectively, then what is the angle between the two lines?(a) cot⁡θ=\(\left \|l_1 \,l_2+m_1 \,m_2+n_1 \,n_2\right \|\)(b) sin⁡θ=\(\left \|l_1 \,l_2+m_1 \,n_2+n_1 \,m_2\right \|\)(c) tan⁡θ=\(\left \|l_1 \,l_2+m_1 \,m_2+n_1 \,n_2\right \|\)(d) cos⁡θ=\(\left \|l_1 \,l_2+m_1 \,m_2+n_1 \,n_2\right \|\)The question was asked during an interview.Query is from Three Dimensional Geometry topic in portion Three Dimensional Geometry of Mathematics – Class 12
Answer» Correct ANSWER is (d) cos⁡θ=\(\left \|l_1 \,l_2+m_1 \,m_2+n_1 \,n_2\right \|\) For EXPLANATION: If two lines L1 and L2 are having direction cosines \(l_1,m_1,n_1 \,and \,l_2,m_2,n_2\) respectively, then the ANGLE between the lines is given by cos⁡θ=\(\left \|l_1 \,l_2+m_1 \,m_2+n_1 \,n_2\right \|\)

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