Question
Which of the points $A(3,-2,-1), B(2,1,-1), C(1,4,0)$ lie in the plane $$3 x+2 y-3 z=11 ?$$
Step 1
We do this by substituting the coordinates of point A into the equation of the plane. The equation of the plane is $3x + 2y - 3z = 11$. Substituting the coordinates of point A into the equation, we get: $3(3) + 2(-2) - 3(-1) = 9 - 4 + 3 = 8$ Since 8 is not Show more…
Show all steps
Your feedback will help us improve your experience
Sriparna Bhattacharjee and 68 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
Which of the points $A(3,2,-3), B(2,1,-2), C(1,4,0)$ lie in the plane $$(\mathbf{i}-3 \mathbf{j}+\mathbf{k}) \cdot(x \mathbf{i}+y \mathbf{j}+z \mathbf{k})=-6 ?$$
Vectors, Lines and Planes
Planes
Which point(s) lie in the plane $2 x+y-z=10 ?$ a) $(0,0,10)$ b) $(5,3,-3)$ c) $(2,4,-2)$ d) $(-3,6,-10)$
Analytic Geometry
The Three-Dimensional Coordinate System
Which of the following points lie on the plane 11x -2y -4z + 2 = 0
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD