Where are these topics covered in a typical math progression?

[EKS]

I just need to know the course (precalculus, Calc 1, 2, 3, etc), not where it is in relation to anything else.

 

All of this is in three dimensions:

 

The angle between two vectors.

 

Finding the equation of a plane that passes through three points.

 

Finding the angle between two planes given the standard equation of a plane.

 

Finding the distance between a point and a plane.

 

Finding a vector normal to the plane that contains two vectors.

 

Finding an equation of a plane that is perpendicular to a line (given as a set of three parametric equations) that passes through a given point.

 

Thanks!

 

 

Edited April 13, 2017 by EKS

[Kathy in Richmond]

In Stewart's Calculus & in my old 1970s copy of Thomas & Finney's Calculus, these topics are included in a chapter on 3D geometry and vectors and are placed right at the start of the Calc 3 topics.

 

AoPS has them at the end of their Precalculus textbook.

Edited April 13, 2017 by Kathy in Richmond

[kiana]

All of it is in multivariable calc. Some of it is also in precalc but it's often in the chapters that people tend to omit. 

[RootAnn]

I did a lot of that in Calc 3 way back in the dark ages. I may have seen it before then, briefly, but very vividly remember it in my college Calc 3 class.  :scared:

[Julie of KY]

I learned it in multivariable calculus.

[EKS]

Thanks everyone!

 

Once I understood that I should be looking at multivariable calculus resources, I realized that I actually own the TC multivariable calculus course.  And lo and behold, there are three lectures covering this particular material.  I've now watched two of them, and they are crystal clear.  

 

Of course, my son's precalculus teacher took about 30 minutes in class to go over the same material and apparently expected them to derive their way through the problem set--which might be fine if they had gobs of time but they don't.  

 

 

[Mike in SA]

We covered it in geometry. Granted, we used Kiselev, which is not exactly typical.

 

We did it again in precal and again in calculus.

 

When I was a student (WAAAY back), I took trig & analytic geometry, and it was part of that course. That was right after algebra 2.