Question :

Question

1)Find the perpendicular distance of a point C=c fron the straight line (r-a)^b =0

2) Find the shortest distance between the two skew lines (r-a)^b =0 and (r-c)^d =

Could you please help me solving this? I dont understand how to get started as there is no point given as passing the given line or given as pararrel

Answer 1

I'm not familiar with the notation (r-a)^b = 0
as it relates to vectors. Care to explain a bit more?

Answer 2

(r-a)^b = 0 : ^ refers to the cross product , as i know cross product gives a vector perpendicular to both given vectors

Answer 3

If (r-a)×b = 0 then (r-a) and b must be parallel, since the sine of the angle between them is zero.

As for the 2nd one, if you meant to say that (r-a)×d = 0 as well, then b and d are parallel. What do you know about the distance between parallel lines in 3D?