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WorksheetsVectors by Components
Total questions: 15
Worksheet time: 8mins
1. Write the given "coordinates" in component form.
<0,4>
< 8, -2>
<2, 8>
<0,2>
A hiker walks 5 kilometers due north and then 7 kilometers due east. What is the magnitude of the resultant vector?
11.5 km
2km
6 km
8.6 km
What is the y component of the vector given in the diagram?
(Hint: use Trig Function)
120N
170 deg
91.9 deg
70N
What is the x component of the vector given in the diagram?
77N
120 deg
91.9 deg
60N
Which of the following quantities are vectors?
force, acceleration, mass
velocity, acceleration (speed), force
length, mass, time
speed, velocity, acceleration
The magnitude of the resultant vector is equal to......
50m
2500m
70m
800m
The president’s airplane, Air Force One, flies at 250 m/s to the east with respect to the air. The air is moving at 35 m/s to the north with respect to the ground. Find the velocity of Air Force One with respect to the ground.
(hint: find the magnitude)
435m/s
252m/s
125m/s
435m/s
You slowly walked 10 km West and then quickly ran 10 km North. During each part of the journey, the _____ was the same.
Time
Velocity
Distance
Force
A vector is a mathematical structure by definition it that has both _______ and _______.
Sound and Speed
Magnitude and Direction
Space and Time
Motion and Sound
Given an initial point R ( -12, 4) and terminal point S (28, -17), find the component form of the vector RS. (Hint: using less and greater than symbols)
(-14,13)
<40, -21>
<14, -13>
(40, -21)
Given u = <3, 7> and v =<-5, 4>, Find 2v - 3u
<21, 2>
<-19, -13>
(-21, 2)
(19, 13)
Find the direction of the vector <10, -8>
(hint: use Tangent function, check quadrant!)
-38.66 deg
141.34 deg
51.341 deg
321.34 deg
In comparing two Vectors, how do we know if they are Parallel?
Product of 0.
Same Slope.
Forms 90 deg angles
We cannot know
is it Possible for two vectors to cross paths and not collide?
Yes, different longitudes and latitudes
No, they will collide!
Which vectors have equivalent magnitudes?
a and z
u and -u
z and v
b and z
