The Dot Product
The Cross Product
Review from Calc 1
Terminology
Bad Korean Jokes
100

The dot product of vectors := <3, 15> and b := <-20, 4> provides this scalar.

What is 0?

100

The cross-product of two vectors can be found by finding this scalar for a three-vector matrix.

What is the determinant?

100

This concept, central to the development of calculus, describes the behavior of functions as the independent variable "approaches" a certain value and does not always match the function value itself - or even always exist.

What is a limit?

100

This term describes the smaller vector that is "shaded" by a perpendicular line dropped from another vector onto a longer vector.

What is a projection?

100

This rain is going to soak all of you when you start college.

What is tuition (학비)?

200

A dot product of zero proves that vectors can be described by this "right"eous term.

What is orthogonal?

200

This constant "c" will create a unit vector as the cross-product of v := <0, 5, 0> and := <a, 0, 0>.

What is -1/5 (or -0.2)?

200

This common line is used to aid in graphing discontinuities that stem from undefined values of a function - but specifically not indeterminate ones.

What is a vertical asymptote?

200

This operation on vectors <a, b> and <c, d> produces a scalar found as ac + bd.

What is a dot product?

200

This Korean fruit is so delicious that BIGBANG even sang a pretty decent song about it.

What is a pear (배배)?

300

The dot product of a vector and the cross-product of 2 other vectors gives the volume of this 3-D shape.

What is a parallelepiped?

300

The area of the parallelogram defined by the vectors <1, 2, 3> and <3, -3, 3> will contain this many square units.

What is sqrt(342) (or ~18.5)?

300

The process of finding a rate of change frequently requires this process, which typically results in the format dy/dx.

What is differentiation?

300

This common geometric shape's area formula can be found by taking the norm of a cross-product between two vectors.

What is a parallelogram?

300

This is the family member who will always have the most information.

What is a wife?

400
A dot product differs from a cross-product in that the dot product always provides this type of answer.

What is a scalar?

400

The parallelepiped defined by a<0, 0, 0>, v<1, 2, 3>, and w<3, -3, 3> will contain this many cubic units of volume.

What is 0?

400

This process takes a function containing a product, writes it as (process) u dv, then simplifies it by using the formula uv - (process) v du.

What is integration by parts?
400

This trigonometric ratio can be found by using the dot product of two vectors divided by the product of their magnitudes.

What is a cosine?

400

This is the most popular sport among farmers.

What is basketball (농구)?

500

Negative dot products, such as that between <-1, 2> and <5, 2>, are associated with this type of "insensitive" angle.

What is an obtuse angle?

500
The measure of this angle-related function can be found by using the cross-product - a fact which is proven by the area of a triangle formula.

What is sine?

500

This infinite series stems from a sum of terms that contain various derivatives divided by factorials; a specific case is known as the Maclaurin series.

What is a Taylor series?

500

The volume of a regular tetrahedron is found by taking one-sixth of this common vector operation, defined by a · (x w).

What is a triple product?

500

This type of tea is always served "differently."

What is chai (차이)?