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

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

Q) Find the image A^′ of the point A(2,1,2) in the line 𝑙:r =4i +2j +2k +𝜆(i −j −k ). Also, find

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

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

Q) Find a point P on the line (𝑥+5)/1=(y+3)/4=(z−6)/(−9) such that its distance from point

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