Points, Vectors, and Functions True or False
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1.
Which best completes the following sentence? "A vector is..." -> a magnitude.
True
False
2.
||<3, -1>|| = ->
True
False
3.
Find the direction of the vector
. ->
True
False
4.
Which of the following does NOT represent the vector whose
x
-component is 3 and whose
y
-component is 2? -> <3, 2>
True
False
5.
Whether a function is a vector function or scalar function depends on -> both the input and the output of the function.
True
False
6.
Which of the following are scalar functions?
f
(
x
) =
x
2
g
(
x
,
y
) =
x
+
y
h
(
x
,
y
) = ||<
x
,
y>
||
-> (II) and (III)
True
False
7.
Find
f
(4, 5) where the function
f
is defined by
f
(
x, y
) = <
x
+
y
,
x
–
y
> -> <9, -1>
True
False
8.
Determine which graph is the best representation of the function
for 0 ≤
t
≤ 4:
-> A
True
False
9.
A
unit vector
is -> any scalar multiple of the vector <1, 1>.
True
False
10.
To normalize the vector
, it must be multiplied by ->
True
False
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