Find equation of the plane that passes through a given point and is perpen. to

  • Thread starter Thread starter Kawrider0133
  • Start date Start date
  • Tags Tags
    Plane Point
AI Thread Summary
To find the equation of the plane that passes through the point (2,3,-5) and is perpendicular to the given line, first identify the direction vector of the line, which is derived from its parametric equations. The direction vector is (-1, 3, 4), and this vector serves as the normal vector for the plane. Using the point-normal form of the plane equation, the equation can be formulated as -1(x - 2) + 3(y - 3) + 4(z + 5) = 0. Understanding how to derive the normal vector from the line's direction and applying it with the point on the plane is crucial for solving this problem. The correct application of these concepts will yield the desired plane equation.
Kawrider0133
Messages
1
Reaction score
0
Find equation of the plane that passes through a given point and is perpen. to...

Point: (2,3,-5)
Perpendicular to the line: x = -1 - t, y = 4 + 3t, z = 4t

I've looked up many examples to similar problems but i just can't get the right answer to this one. Please Help!
 
Physics news on Phys.org
Kawrider0133 said:
Point: (2,3,-5)
Perpendicular to the line: x = -1 - t, y = 4 + 3t, z = 4t

I've looked up many examples to similar problems but i just can't get the right answer to this one. Please Help!
The direction of the line is perpendicular to the plane, so the direction of the line is parallel to the plane's normal.

Do you know how to find a vector in the direction of a given line?
Do you know how to find the equation of a plane given a point on the plane and the normal?
 

Similar threads

Algorithm problem involving 3 points and 3 lines in the x,y plane
Replies
7
Views
2K
Is (y + z)x1 = (y1 + z1)x the equation of a straight line in 3D space?
Replies
17
Views
2K
Find equation of plane given conditions
Replies
2
Views
2K
Solving Plane Equation 3x + 2y -z = 4
Replies
8
Views
2K
Find integer points on this equation
Replies
8
Views
1K
Vector equation of a plane in normal form
Replies
2
Views
2K
Distance from a point in space to a plane given a perpendicular line
Replies
1
Views
2K
Find the equation of the plane given point and line (3D)
Replies
2
Views
3K
Two pencils of planes have a common plane
Replies
3
Views
2K
Find the scalar, vector, and parametric equations of a plane
Replies
8
Views
3K

Hot Threads

Recent Insights

Back
Top