If the lines (x – 1)/(–3) = (y – 2)/(2k) = (z – 3)/2 and (x – 1)/(3k) = (y – 1)/1 = (z – 6)/(–7) are perpendicular to each other, find the value of k and hence write the vector equation of a line perpendicular to these two lines and passing through the point (3, –4, 7).

Question

TextDistance Between Two Parallel Lines in Three DimensionsCBSE PYQ

Find the distance between the line x/2 = (2y – 6)/4 = (1 – z)/(–1) and another line parallel to it passing through the point (4, 0, –5).

Find the distance between the lines: r→ = (î + 2ĵ − 4k̂) + λ(2î + 3ĵ + 6k̂); r→ = (3î + 3ĵ − 5k̂) + μ(4î + 6ĵ + 12k̂)