
Understanding Unit Vectors and Trigonometric Forms

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Lucas Foster
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the definition of a standard unit vector?
A vector with a magnitude of 0
A vector with a magnitude of 1
A vector with a magnitude greater than 1
A vector with a magnitude less than 1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can any vector V be expressed using unit vectors I and J?
As a difference of I and J
As a product of I and J
As a sum of I and J
As a linear combination of I and J
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in rewriting a vector as a linear combination?
Adding a constant to the vector
Rewriting the vector as the sum of two vectors
Multiplying the vector by a scalar
Subtracting a constant from the vector
Tags
CCSS.HSN.CN.B.4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In trigonometric form, what does the 'a' component of a unit vector represent?
The cotangent of the angle
The cosine of the angle
The tangent of the angle
The sine of the angle
Tags
CCSS.HSN.VM.A.1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the magnitude of a vector related to its trigonometric form?
It is the product of the vector's magnitude and its unit vector
It is unrelated to the trigonometric form
It is the difference between the cosine and sine components
It is the sum of the cosine and sine components
Tags
CCSS.HSN.VM.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the component form of a vector with magnitude 8 and direction angle 60 degrees?
6 and 6√3
8 and 8√3
4 and 4√3
2 and 2√3
Tags
CCSS.HSN.VM.A.1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which quadrant is a vector with a positive X and negative Y component located in?
Quadrant 1
Quadrant 2
Quadrant 4
Quadrant 3
Tags
CCSS.HSN.VM.A.1
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