Equations of lines Find both the parametric and the vector equations of the following lines. The line through (0, 0, 1) in the direction of the vector v = ⟨4, 7, 0⟩

sagnuhh 2020-12-07 Answered
Equations of lines Find both the parametric and the vector equations of the following lines. The line through (0, 0, 1) in the direction of the vector v=4,7,0
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Gennenzip
Answered 2020-12-08 Author has 96 answers
Step 1 Given: The line through (0, 0, 1) in the direction of the vectorv=<4,7,0>. To find: Parametric and vector equations of the given line. Step 2 Let, r0=(0,0,1),d=<4,7,0> The vector equation of the line is, r=r0+td
r=<0,0,1>+t<4,7,0>
=<0,0,1>+<4t,7t,0>
=<0+4t,0+7t,1+0>
=<4t,7t,1> r=<4t,7t,0> The parametric equations of a line are, Result :x=4t,y=7t,z=0 Vector equation of a line is, r=<4t,7t,0> Parametric equations of a line are, x=4t,y=7t,z=0.
Not exactly what you’re looking for?
Ask My Question
Jeffrey Jordon
Answered 2021-11-08 Author has 2064 answers

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more