Q) If a line makes angles of 3𝜋/4,𝜋/3 and 𝜃 with the positive directions of 𝑥,𝑦 and z -axis

Q) Find the shortest distance between the lines given by(𝑟 =(4𝑖 −𝑗 +2𝑘 )+𝜆(𝑖 +2𝑗 −3𝑘 )

Q) The line x=1+5μ , 𝑦=−5+ 𝜇, 𝑧=−6− 3𝜇 𝑝𝑎𝑠𝑠𝑒𝑠 𝑡ℎrough which of the following point ?

Q) If the direction cosines of a line are 𝜆,𝜆,𝜆, then 𝜆 is #threedimensionalgeometry

Q) Find the angle between the two lines whose equations are 2𝑥=3𝑦=−𝑧 and 6𝑥=−𝑦=−4𝑧.

Q) Determine if the line 𝑟 =(𝑖 +𝑗 −𝑘 )+𝜆(3𝑖 −𝑗 ) and 𝑟 =(4𝑖 −𝑘 )+𝜇(2𝑖 ˆ+3𝑘 ˆ) interse

Q) If a line makes angles of 3𝜋/4,𝜋/3 and 𝜃 with the positive directions of 𝑥,𝑦 and z -axis

Q) The line x=1+5μ , 𝑦=−5+ 𝜇, 𝑧=−6− 3𝜇 𝑝𝑎𝑠𝑠𝑒𝑠 𝑡ℎrough which of the following point ?

Q) Find the distance of the point P(2,4,−1) from the line (𝑥+5)/1=(𝑦+3)/4=(𝑧−6)/(−9).

Q7 Ex 12.1 Class 10 Maths | Surface Areas and Volumes | NCERT Solution Explained.