Math 210 Exam 1 Study
Guide
This is not comprehensive. Some items here may not appear on
the exam, and some exam questions may be on material not covered here. However,
at a minimum you should know:
- How
to compute and the significance of the dot (= 0 for orthogonal vectors) and
cross products, including the relation to the cosine and sine of the
included angle
- How
to find:
- The
projection of one vector on another
- The
component of one vector along another
- How
to find a vector equation of a line given:
- A vector
parallel to the line and a point on the line
- Two
distinct points on the line
- How
to find an equation of a plane given:
- 3 noncollinear points on the plane
- A vector
normal to the plane and a point on the plane
- A
line in the plane and a point (not on the line) on the plane
- 2 nonparallel
vectors parallel to the plane and a point on the plane
- Given
a space curve r, how to find:
- The
velocity
- Acceleration
- Speed
- Unit
tangent vector
- Unit
normal vector
- Arc
length between two points of the curve
- Differentiation
rules for vector valued functions of one real variable:
- Sum
- Scalar
multiple
- Product
- Chain