Of the four answers below, select ALL answers that uniquely determine a plane. One normal vector Two noncollinear points Any three points One point and a normal vector
Added by Alex_Hags
Step 1
One normal vector: A normal vector alone cannot uniquely determine a plane, as there can be infinitely many planes with the same normal vector. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Nick Johnson 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
If In each case, describe how to find a normal vector to the plane: (a) Three noncollinear points are given. The plane contains all three points. (b) Two lines are given that intersect in a point. The plane contains the lines.
Vector Geometry
Planes in 3-Space
Find a normal vector and a representation of the plane through the points (4,8,0),(0,2,6,(3,0,5)
Vector Differential Calculus. Grad, Div, Curl
Voctor Product (Cross Prodact)
Find a unit vector normal to the plane containing $\mathbf{v}=\mathbf{i}+3 \mathbf{j}=2 \mathbf{k}$ and $\mathbf{w}=-2 \mathbf{i}+\mathbf{j}+3 \mathbf{k}$.
Polar Coordinates; Vectors
The Cross Product
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD