NEW
Font size
WorksheetsExploring Two-Dimensional Vectors
Total questions: 27
Worksheet time: 17mins
What is the result of adding the vectors (3, 4) and (1, 2)?
(4, 6)
(3, 5)
(5, 6)
(2, 3)
If vector A = (5, -3) and vector B = (2, 1), what is A - B?
(5, -4)
(3, 4)
(3, -4)
(7, -2)
Calculate the magnitude of the vector (6, 8).
12
14
10
8
If you multiply the vector (2, 5) by the scalar 3, what is the resulting vector?
(5, 12)
(0, 0)
(6, 15)
(2, 5)
Graph the vector (3, 2) on a coordinate plane.
The point (3, 2) is graphed at 3 units right and 2 units up from the origin.
The point (3, 2) is graphed at 3 units up and 2 units right from the origin.
The point (3, 2) is graphed at 2 units right and 3 units up from the origin.
The point (3, 2) is graphed at 3 units left and 2 units down from the origin.
What is the sum of the vectors (1, 2) and (-1, -2)?
(0, 2)
(1, 2)
(0, 0)
(-2, -4)
Find the magnitude of the vector (-4, 3).
4
6
7
5
Determine the direction of the vector (0, -5).
up
left
right
down
If vector C = (7, 1) and you subtract (3, 4) from it, what is the resulting vector?
(4, 7)
(4, -3)
(0, -3)
(10, 5)
What is the scalar multiplication of the vector (2, -1) by -2?
(-6, 3)
(0, 2)
(-2, 1)
(-4, 2)
Graph the vector (-2, 3) on a coordinate plane.
The point (2, -3) is graphed at the coordinates (2, -3) on the coordinate plane.
The point (0, 0) is graphed at the coordinates (0, 0) on the coordinate plane.
The point (-2, 3) is graphed at the coordinates (-2, 3) on the coordinate plane.
The point (-3, 2) is graphed at the coordinates (-3, 2) on the coordinate plane.
What is the result of adding the vectors (0, 0) and (5, 5)?
(5, 5)
(5, 0)
(0, 0)
(0, 5)
Calculate the magnitude of the vector (8, -6).
10
5
8
12
What is the direction of the vector (-3, -4) in degrees?
45.00
233.13
90.00
180.00
If you multiply the vector (1, 1) by 0, what is the resulting vector?
(1, 1)
(0, 1)
(0, 0)
(1, 0)
Graph the vector (4, -2) on a coordinate plane.
The point (4, -2) is graphed at 4 units right and 2 units down from the origin.
The point (4, -2) is graphed at 4 units down and 2 units right from the origin.
The point (4, -2) is graphed at 4 units left and 2 units up from the origin.
The point (4, -2) is graphed at 2 units right and 4 units down from the origin.
What is the result of subtracting the vector (2, 3) from (5, 7)?
(1, 1)
(5, 10)
(2, 4)
(3, 4)
Find the magnitude of the vector (9, 12).
10
15
25
20
Determine the direction of the vector (5, 0) in degrees.
90
180
270
0
Which of the following measurements is a vector measurement?
Volume
Mass
Speed
Temperature
Velocity
Which of the following measurements is a vector measurement?
Volume
Mass
Speed
Temperature
Velocity
Which of the following measurements is a scalar measurement?
Speed
Velocity
Force
Acceleration
Momentum
What symbol is typically used to draw a vector?
Plus sign
The letter X
Box
Arrow
Hash tag
What is a vector?
A quantity described by direction only
A quantity described by magnitude only
A quantity described by both a magnitude and a direction
A quantity with a magnitude of one
An empty quantity
What is a scalar?
A quantity described by direction only
A quantity described by magnitude only
A quantity described by both a magnitude and a direction
A quantity with a magnitude of one
An empty quantity
TRUE or FALSE:
Vectors can be represented by an arrow on a scaled diagram; the length of the arrow represents the vector's magnitude and the direction it points represents the vector's direction.
TRUE
FALSE
