Calc 3 Flashcards
Distance Formula
Equation of Sphere
What is a Vector
An object with a Direction and Length. Can have a summation and scalar multiplication. Doesn’t matter where the vector is drawn.
Adding Vectors
Scalar Multiplication of Vectors
Magnitude
Find equation of a sphere with center = (1, -12, 6) and radius = 10
Use an equation to describe an interaction with the xy, xz, yz plane
Find an equation of a set of points equal distance from point A(-1,4,2) and B(5,3,-2)
Cross Product
Finds if vectors are parallel, produces a vector
Inner/Dot Product
Finds if vectors are orthogonal, produces a number
Triple Product
absolute value is the volume of parallelpipe
2 straight lines can
Intersect, parallel, skew
2 planes can
intersect, parallel
Cylinder
All lines parallel and passing through a plane curve