Lines in Space - Page 2

Questions
  • A line in space has direction angles α= 120, β where 0≤β≤90, γ=45. If the line passes through the point (2,-1,5), give parametric equations for the line. How do you solve this?
  • Find a piecewise smooth parametrization of the path C. r(t) = ti + tj 0 ≤ t ≤ 1 _____????______ 1 ≤ t ≤ 2?
  • The distance of the point(3,0,5)from the line parallel to the vector (6i+j-2k) and passing through the point(8,3,1) is..?
  • How do I find an equation of the line that passes through the points #(2, -1, 3)# and #(1, 4, -3)#?
  • What is meant by the parametric equations of a line in three-dimensional space?
  • How do I know if two lines are parallel in three-dimensional space?