Question
Find parametric equations for the line through $P_{0}=(3,-1,1)$ perpendicular to the plane $3 x+5 y-7 z=29 .$
Step 1
The normal vector of the plane is given by the coefficients of x, y, and z in the equation of the plane. So, the normal vector of the plane $3x+5y-7z=29$ is $\mathbf{n}=(3,5,-7)$. Show more…
Show all steps
Your feedback will help us improve your experience
Linh Vu and 93 other Calculus 3 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 parametric equations of the line passing through point $P(-2,1,3)$ that is perpendicular to the plane of equation $2 x-3 y+z=7$
Vectors in Space
Equations of Lines and Planes in Space
Find parametric equations for the lines. \begin{equation}\begin{array}{l}{\text { The line through }(2,4,5) \quad \text { perpendicular to the plane }} \\ {3 x+7 y-5 z=21}\end{array}\end{equation}
Vectors and the Geometry of Space
Lines and Planes in Space
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD