Calculus 3: Equations of Lines and Planes (Video #5) | Math with Professor V

Explanation of how to find the vector equation of a line in space, as well as the parametric and symmetric equations. Examples finding the distance of a point to a line, determining if two lines are parallel, intersecting, or skew. Finding the equation of a plane; finding the equation of a plane given three points that lie in the plane; finding the distance from a point to a plane. #equationsofplanes #calculus3 #mathtvwithprofessorv #youtubemath #mathprofessor #calculus #mathvideos #equationsoflinesin3D #skewlines

Don't forget to LIKE, Comment, & Subscribe!

xoxo,
Professor V

Calculus 2 Lecture Videos on Integration:

Trig Review:

Calculus 3 Video Lectures:

#mathwithprofessorv #integration #partialfractions #partialfractionmethod #partialfractiondecomposition #trigonometricsubstitution #trigintegrals #trigsubstitution #integrals #integralcalculus #calculus2 #calculusvideos #calculus2videos #integralvideos #trigonometricintegrals #math #youtubemath #mathvideos #mathtutor #mathprofessor #calculusvideos #integrationbyparts #integralcalculus

Join this channel to get access to perks:

Socials:
IG: @mathwithprofessorv
TikTok: @mathwithprofessorv

I'm also an Amazon influencer, so feel free to support and shop:

EXCITING NEWS: You can now sign up for my Patreon at the link below!

My Patreon is a place for students to have access to exclusive ad-free content not available on my YouTube channel! Access to the library of additional videos, worksheets, and more is available with the "Star Pupil Package" tier for just $9.99/month (USD).

*This video is copy protected and cannot be downloaded or used in any capacity without my permission.*

[juanrios]

Just found your lectures, thank you so much, I was getting so confused by my prof but these videos and how its organized is so good, and easy to understand.

[BinhNguyen-ghhg]

Great lecture! I understand your teaching better than my own professor lol.

[Maria-hxqn]

Thank you so much for this amazing lecture and all the ones you've shared, for being so organized and kind to post your work. I've not found a better way to be prepared for my classes and understand the dense theory my professor explains in class.
I excuse myself if my question is out of the scoop of this video, but one of the chapters of the book we'll be studying is called "Independence of path", do you know which of your videos I could watch to study this material? The textbook "Advanced Engineering Mathematics, by Dennis G. Zill and Warren S. Wright, " is right after Line integral, and the closest video I saw after line integral is "The fundamental theorem of line integrals" would this one be the one interchangeable for "Independence of path"?

[rodrigocruz]

Great lecture, I really appreciate your educational videos.

[channel]

Ma'm nailed it!
Also discussing several cases

[deliveringIdeas]

Thank you Professor V this helped me a lot.

[douxpusheen]

You're lectures are saving me in this class

[keremozkan]

Excuse me professor, z-z_0=m(y-y_0) people say this equation useable to for plane equation I'm confused, how derived i dont understand

[smilingzym]

I have a question regarding direction vector and normal vector. If given a point and a direction vector or normal vector, will the parametric equations are the same meaning x=x0+at, y=y0+bt, z=z0+ct using v = <a, b, c> or n = <a, b, c>? if they are the same, what are the differences between a direction vector or normal vector other than a direction vector is parallel to a line and normal vector is perpendicular to a plane? Thank you.