벡터와 공간 전체 문제

The cross product of two vectors is a _____, not a scalar.

One can visualize the direction of $\vec u\times\vec v$ using the _____ _____ _____.

T/F: A fundamental principle of the cross product is that $\vec u\times\vec v$ is orthogonal to $\vec u$ and $\vec v$.

_____ is a measure of the turning force applied to an object.

T/F: If $\vec u$ and $\vec v$ are parallel, then $\vec u\times\vec v=\vec 0$.

To find an equation of a line, what two pieces of information are needed?

Two distinct lines in the plane can intersect or be _____.

Two distinct lines in space can intersect, be _____ or be _____.

Use your own words to describe what it means for two lines in space to be skew.

In order to find the equation of a plane, what two pieces of information must one have?

What is the relationship between a plane and one of its normal vectors?

Vector–valued functions are closely related to _____ _____ of graphs.

When sketching vector–valued functions, technically one isn't graphing points, but rather _____.

It can be useful to think of _____ as a vector that points from a starting position to an ending position.

In the context of vector–valued functions, average rate of change is _____ divided by time.

Limits, derivatives and integrals of vector–valued functions are all evaluated _____–wise.

The definite integral of a rate of change function gives _____.

Why is it generally not useful to graph both $\vec r(t)$ and $\vec r\,'(t)$ on the same axes?

How is velocity different from speed?

What is the difference between displacement and distance traveled?