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.

Triple Scalar Product:

Vector Equations of Lines:

The Equation of a Plane:

Planar Equation - 3 Points:

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Lines & Planes - Intersection:

Angle Between Two Planes:

Distance Between Point and Plane:

Chain Rule - Partial Derivatives:

Implicit Partial Differentiation:

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Directional Derivatives:

Limits of Multivariable Functions:

Double Integrals:

Local Extrema & Critical Points:

Absolute Extrema - Max & Min:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[AsleepWarrior]

You honestly should consider becoming a professor at my university if you ever get bored at your NASA job or whatever your doing.

[joshuaotieno]

You are more than our lectures wish I could be paying my school fee to someone like you

[georgesadler]

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 YouTube TV with the Organic Chemistry Tutor.

[juanmanuelmillansanchez]

it is amazing the way you always save my ass

[villyblock]

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

[charlesarmstrelli]

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

[slashprime]

The prof should just put on this video cause everything is so clear

[darshansikhwal]

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

[WorldWideSkboarding]

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 ?

[adam-fklu]

I need to pay this man more oh my god.

[muhndkalil]

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

[canardayagci]

eyw abi you're the man. lebron. family.

[cain]

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,

[evanator]

At my lowest point when my textbook fails me and I have nowhere to turn you save me from despair

[gokudragonsoul]

Does anyone know what app his using for the workings

[shayerabhanua]

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