angle b/w two lines | straight lines class 12 | 3d geometry one shot

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

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

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

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