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WorksheetsPrecal: Vectors
Total questions: 14
Worksheet time: 18mins
Name
Class
Date
1.
Vector is a quantity with:
a)
magnitude and direction
b)
magnitude
c)
direction
d)
none of the above
2.
Find the magnitude of the vector <10, -8>
a)
2
b)
12.81
c)
6
d)
18
3.
Look and choose the correct answer
a)
A
b)
B
c)
C
d)
D
4.
Find the dot product of <1, -2> and <3, 2>.
a)
1
b)
<3, -4>
c)
<4, 0>
d)
-1
5.
Find the direction of the vector <-3, -5>.
a)
59.03°
b)
239.03°
c)
210.96°
d)
120.96°
6.
How do you know if two vectors are orthogonal?
a)
Their sum is 0.
b)
The dot product is 1.
c)
The angle between them is 0°.
d)
The dot product is 0.
7.
A vector is a mathematical structure that has both _______ and _______.
a)
direction, magnitude
b)
scope, sequence
c)
meat, potatoes
d)
scalar, vector
8.
If c=<-5, 4> and d=<8, 0>, calculate 2c+d
a)
<-2, 8>
b)
<-2, 0>
c)
<6, 8>
d)
<6, 0>
9.
Given u = <3, 7> and v =<-5, 4>, find 2u - 3v
a)
<21, 2>
b)
<-11, 26>
c)
<8, 3>
d)
23
10.
Which vector equation matches the vector operation shown in the diagram below?
a)
u+w=-v
b)
v+u=w
c)
w+u=v
d)
-v+w=2u
11.
Which vector equation matches the vector operation shown in the diagram below?
a)
v+w=-u
b)
w-u=-v
c)
w-u=v
d)
-u+v=w
12.
Find the angle between vectors <1,3> and <2,-5>.
a)
40.24°
b)
49.76°
c)
139.76°
d)
92.57°
13.
Find the projection of vector u onto vector v when given;
u =〈3,2〉and v =〈5,-5〉
a)
〈-½,½〉
b)
〈½,½〉
c)
〈½,-½〉
d)
〈-½,-½〉
14.
Determine if the vectors are parallel, orthogonal, or neither. u = 4i − j and v = −3i − 12j
a)
Parallel
b)
Orthogonal
c)
Neither
d)
Both
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