How To Find The Point Where a Line Intersects a Plane

This Calculus 3 video explains how to find the point where a line intersects a plane.
Area - Vector Cross Product: • Area of a Parallelogra...
Triple Scalar Product:
• Volume of a Parallelep...
Vector Equations of Lines:
• How To Find The Vector...
The Equation of a Plane:
• How To Find The Equati...
Planar Equation - 3 Points:
• How To Find The Equati...
_______________________________
Lines & Planes - Intersection:
• How To Find The Point ...
Angle Between Two Planes:
• How To Find The Angle ...
Distance Between Point and Plane:
• How To Find The Distan...
Chain Rule - Partial Derivatives:
• Chain Rule With Partia...
Implicit Partial Differentiation:
• Implicit Differentiati...
________________________________
Directional Derivatives:
• How To Find The Direct...
Limits of Multivariable Functions:
• Limits of Multivariabl...
Double Integrals:
• Double Integrals
Local Extrema & Critical Points:
• Local Extrema, Critica...
Absolute Extrema - Max & Min:
• Absolute Maximum and M...
________________________________
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[@TheOrganicChemistryTutor]

Final Exams and Video Playlists: www.video-tutor.net/

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[@georgesadler7830]

Professor Organic Chemistry Tutor, thank you for an awesome video/lecture on How to Find the Point Where a Line Intersects a Plane. This is one of the easier topics in the beginning of Calculus Three/Multivariable Calculus. This is an error free video/lecture on UA-cam TV with the Organic Chemistry Tutor.

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Great video as usual :]
In what case would the line NOT intersect the plane? If t is negative?

[@rileysmith9929]

They won’t intersect if the plane and the line are parallel. Any other way and they will always intersect.

[@tinalgh4636]

Please teach vector analysis

[@adam-fk2lu]

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[@muhndkalil9234]

Please I have question is the plane has limits by meaning the surface of the plane because if there is no limits the line will interest with the plane if the line is not parallel with the plane is this right or false

[@charlesarmstrelli1688]

hi, if i am not mistaken, you did not mention the case when the line is parallel to the plane.
I found online that this can be verified when the dot product between the line(vector) and the normal to the plane results in 0.
But in our case, is it when the equation solves for t = 0? thank you very much

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[@srummanf]

Your welcome

[@darshansikhwal2714]

What if eq.n of given line is in vector or Cartesian form instead of parametric form

[@nosirrahonline1225]

You can convert that cartesian line into parametric vectors, if you are curious, I can make a video about it for you

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[@cain1830]

Hello, could you help me with this problem? I have an equation for line l, which is y= 3/2× + 21/2. How do I find the intersection point of this line and the horizontal line that passes through the point(-6, -8)?
Thanks,

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[@WorldWideSk8boarding]

IF I have a lines non-parametric equation (x,y,z) = (1,2,-1) + S(-6,11,14) HOW DO I FIND its parametric equation ?

[@WorldWideSk8boarding]

would it be x=1-6s y=2+11s z=-1+14s ??? can I call this a "parametric equations of a line" ?

[@akuryo4815]

@@WorldWideSk8boarding yes that’s correct

[@shayerabhanua4649]

How to find the reflection of the point of intersection on the same plane

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if the point lies on the plane is r.n=1

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