normal plane

[logistic_guy]

here is the question

Find the normal plane to the curve \(\displaystyle \boldsymbol{\varphi}(t) = (t,t^2,t^3)\) at \(\displaystyle t = 1 \).


my attemb
is the normal plane a vector perpedicular or parallel to the tangent vector?
why they call it normal plane not normal vector?
i'm trying to visualize the full picture of the normal plane vector

 

[topsquark]

here is the question

Find the normal plane to the curve \(\displaystyle \boldsymbol{\varphi}(t) = (t,t^2,t^3)\) at \(\displaystyle t = 1 \).


my attemb
is the normal plane a vector perpedicular or parallel to the tangent vector?
why they call it normal plane not normal vector?
i'm trying to visualize the full picture of the normal plane vector

Here we go again.

What is the general form for a plane in 3 space? Look for it in that Calc III textbook.

The normal plane to a vector contains all of the vectors perpendicular to that vector.

-Dan

 

[khansaheb]

Look for it in that Calc III textbook.

or Google!!

 

[logistic_guy]

Here we go again.

What is the general form for a plane in 3 space?

i think it have three compoenents

Look for it in that Calc III textbook.

i'm advance engineering. isn't it a waste of time to read low level book?

The normal plane to a vector contains all of the vectors perpendicular to that vector.

this i don't understand

or Google!!

or i'm very good and i don't need both

 

[khansaheb]

i'm advance engineering. isn't it a waste of time to read low level book?

If you cannot use the concepts discussed in those "low level books" - it cannot be waste of time !!!

 

[topsquark]

i think it have three compoenents

No.

i'm advance engineering. isn't it a waste of time to read low level book?

Because you can't recall how to do a simple problem? Is there something you are afraid of? It won't bite!

or i'm very good and i don't need both

You are not that good.

-Dan

 

[logistic_guy]

No.

Because you can't recall how to do a simple problem? Is there something you are afraid of? It won't bite!

You are not that good.

-Dan

i think plane have this equation \(\displaystyle a(x - x_0) + b(y - y_0) + c(z - z_0) = 0\)
how to know if the tangent vector is \(\displaystyle (a,b,c)\) or \(\displaystyle (x_0,y_0,z_0)\)

 

[topsquark]

i think plane have this equation \(\displaystyle a(x - x_0) + b(y - y_0) + c(z - z_0) = 0\)
how to know if the tangent vector is \(\displaystyle (a,b,c)\) or \(\displaystyle (x_0,y_0,z_0)\)

Almost there!

Look up the rest in your Calc III textbook.

-Dan