Given the line [x, y, z] = [2, 6, -3] + t[4, 10, 5], find: a. The parametric equations of the line. b. The symmetric equations of the line.
Added by Cristian F.
Step 1
So, the parametric equations are: \[ x = 2 + 4t \] \[ y = 6 + 10t \] \[ z = -3 + 5t \] Show more…
Show all steps
Close
Your feedback will help us improve your experience
Linh Vu and 87 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find (a) parametric equations and (b) symmetric equations of the line. The line through (2,1,3) and (4,0,4)
Vectors and the Geometry of Space
Lines and Planes in Space
Find parametric equations and symmetric equations for the line. The line through the points $(12,9,-13)$ and $(-7,9,11)$
Equations of Lines and Planes
(a) Describe the line whose symmetric equations are $$ \frac{x-1}{2}=\frac{y+3}{4}=z-5 $$ (see Exercise 52 ). (b) Find parametric equations for the line in part (a).
THREE-DIMENSIONAL SPACE; VECTORS
Parametric Equations of Lines
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD