Projections of the curve onto the coordinate axes (KristaKingMath)

Learn how to sketch the projections of the curve. Projections are like shadows formed by the curve on the three coordinate axes. Given components of the vector equation, you can write parametric equations of the curve. Use the parametric equations to find equations of the projections in terms of only the variables involved in the coordinate axis. Sketch the projections and then use them to draw the real curve.

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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

[zierkUSN]

This is a very difficult concept to visualize, but you did an outstanding job of giving a nice, clean explanation of it. Much better than the explanation my calculus professor gave. Good Job :)

[MegaAlindo]

Wow that was great, this video is exactly what I was looking for & this channel should definitely be more popular. Thanks a lot for yur help and I hope you keep it up

[wernerhartl]

Beautiful clear explanation of projection of curve on to coordinate planes. Exactly what I was looking for. Thanks

[freddymontes]

Yo this is exactly the problem i was stuck on. thanks for the help

[scienceblossom]

Hi, thanks Krista for the nice explanation. But what if our vector is something like this: f(x, y, z)=<P(x, y, z), Q(x, y, z), T(x, y, z)>? Is there a formula or a more general way to find the projections of this path on the xy xz yz planes?

[lioncaptive]

Could you please provide the software name which you use to describe all the example exercises on your channel? This video is a great example of learning calc...and wished it were interactive...although that's OK as is.
Love your voice.
Thanks.

[astha]

What if function is not defined at 0? What to do then?

[TaiHDoan]

Could you please provide the software name you used to described the graph on 3D dimension? Thanks

[hg.]

Is she awesome or what?

Speaking of Macs (re: graphing software), Krista is the "Mac/iPhone" of math teaching.