Q) Verify that lines given by 𝑟 =(1−𝜆)𝑖 +(𝜆−2)𝑗 +(3−2𝜆)𝑘and 𝑟 =(𝜇+1)𝑖 +(2𝜇−1) 𝑗 −(2𝜇+1

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

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

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

Q) Let the position vectors of the points A,B and C be 3i −j −2k , 𝑖 +2𝑗 −𝑘 and 𝑖 +5𝑗 +3𝑘

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

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