Find a vector equation with parameter 𝑡 t for the line through the point (9,0,−3) ( 9 , 0 , − 3 ) and parallel to the vector 2𝐢−4𝐣+3𝐤.

Question

 Find a vector equation with parameter  for the line through the point  and parallel to the vector 

Answer 1

WE have: (x - 9)/2 = (y - 0)/(- 4) = (z + 3)/3 = t

So, x = 2t + 9; y = - 4t; z = 3t - 3