Question

Find the angle between the following pairs of lines:

(i) ( x-2)/2 =(y-1)/5=(z+3)/-3 and (x+2)/-1=(y-4)/8=(z-5)/4

(ii) x/2=y/2=z/1 and (x-5)/4=(y-2)/1=(z-3)/8

Answer 1

i. Let b₁ and b₂ be the vectors parallel to the pair of lines,

The angle, Q, between the given pair of lines is given by the relation,

(ii) Let    be the vectors parallel to the given pair of lines,

If Q is the angle between the given pair of lines, then