Find the unit vector with the same direction as another vector given

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Mathematics, Information Technology (IT), Architecture
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11th Grade - University
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Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding a unit vector from a given vector?
Rationalize the denominator
Subtract the components
Multiply by a scalar
Find the magnitude
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you calculate the magnitude of a vector with components 4 and 5?
sqrt(4^2 + 5^2)
4 + 5
4^2 + 5^2
sqrt(4 + 5)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the role of a scalar in forming a unit vector?
It changes the direction of the vector
It scales the vector to unit length
It adds to the vector components
It subtracts from the vector components
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the unit vector of a vector with components 4 and 5 after applying the scalar?
(1, 1)
(sqrt(41), sqrt(41))
(4/sqrt(41), 5/sqrt(41))
(4, 5)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to rationalize the denominator in the final answer?
To change the vector's direction
To simplify the calculation
To make the answer more complex
To adhere to standard mathematical practice
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