# Question: what is the cosine of the angle between vectors u...

###### Question details

What is the cosine of the angle between vectors u and v? Show
how you set up the solution, and your actual calculations.

u = [ 4 2 0 -1 ] v = [ 3 -3 2 0 ]

II/ [ 2 points each] For each example below, state whether the
feature is

i) Numerical: discrete or continuous

ii) Categorical or nominal: ordinal

If you’re doubtful about any part of an answer, add a few words of
explanation.

a) Brightness outdoors as measured by a light meter.

b) Brightness outdoors as indicated by people’s subjective
judgments (e.g. “it’s pretty bright”, “hard to see”).

c) Angles as measured in degrees between 0 and 360.

d) Telephone area code.

e) Bronze, silver, and gold medals as awarded at the
Olympics.

f) Height above sea level in meters.

g) Number of patients in a hospital.

h) Ability to pass light in terms of the following values: opaque,
translucent, transparent.

i) Military rank.

j) Density of a substance in grams per cubic centimeter.

k) Coat check number. (When you attend an event, you often can give
your coat to someone who, in turn, gives you a number to use to
claim your coat when leaving.)