shahrukhafridi8465 shahrukhafridi8465
  • 04-09-2019
  • Mathematics
contestada

Find a vector parametrization r(t) for the line with the given description. Passes through P = (5, 0, 3), direction vector v = 3, 0, 5

Respuesta :

AlonsoDehner AlonsoDehner
  • 07-09-2019

Answer:

Step-by-step explanation:

Given that a line passes through a point

P = (5, 0, 3)

Direction vector = [tex]v = 3, 0, 5[/tex]

Let (x,y,z) =r(t) be any general point on the line

We have

[tex]x-5, y-0, z-3[/tex] will be proportional to v

Or [tex]\frac{x-5}{3} =\frac{y}{0} =\frac{z-3}{5}[/tex]

Let this equals t

Then parametric form

= [tex]r(t) = (5+3t)i +0.j+(3+5t)k[/tex]

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