We find the distance between points and other objects.

Work in groups of 3–4, writing your answers on a separate sheet of paper.

Vector valued functions

point and line

point and planes

Normal vectors

Consider the following line: Find a vector normal to this line. Explain your reasoning.
Now consider the line in . Find a vector normal to this line. Explain your reasoning.
Consider the equation: Explain how this connects to finding normal vectors to lines in of the form: In particular, you should explain what , , and represent.
Quick! Tell me normal vectors for the following lines:
(a)
(b)
(c)
(d)

points and lines

points and planes