What is a unit vector?
Given a Vector in Component Form, Find the Unit Vector

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Mathematics
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11th Grade - University
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A vector with a magnitude greater than 1
A vector with a magnitude of 0
A vector with a magnitude less than 1
A vector with a magnitude of 1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you calculate the magnitude of a vector?
By adding the components
By multiplying the components
By subtracting the components
By squaring the components, adding them, and taking the square root
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the magnitude of the vector (-2, 2)?
2
4
2√2
8
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you convert a vector to its unit vector form?
By adding the vector to its magnitude
By dividing the vector by its magnitude
By multiplying the vector by its magnitude
By subtracting the vector from its magnitude
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of the unit vector for (-2, 2)?
(-1/√2, 1/√2)
(-1, 1)
(-2, 2)
(1, -1)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is rationalizing the denominator important in unit vector calculations?
It has no effect on the vector
It changes the direction of the vector
It simplifies the vector for easier calculations
It makes the vector longer
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of a unit vector lying on the unit circle?
It has a magnitude less than 1
It has a magnitude greater than 1
It has a magnitude of 1
It has a magnitude of 0
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