1. Tardigrade
  2. Question
  3. Mathematics
  4. A = (x1,y1,z1) and B = (x2,y2,z2) are two points. If l,m,n are the d.cs of CD and l(x2 - x1) + m(y2 - y1) + n(z2 - z1) = 0 then the cosine of the angle between the lines AB and CD is

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Q. $A = (x_1,y_1,z_1)$ and $B = (x_2,y_2,z_2)$ are two points. If l,m,n are the d.cs of CD and $l(x_2 - x_1) + m(y_2 - y_1) + n(z_2 - z_1) = 0 $ then the cosine of the angle between the lines AB and CD is

Three Dimensional Geometry

Solution:

$\theta = 90^{\circ} \, \Rightarrow \, \cos \theta = 0 $