
Understanding Vector Decomposition

Interactive Video
•
Mathematics
•
8th - 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 another term for vector decomposition?
Vector subtraction
Vector multiplication
Vector composition
Vector addition
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean for two vectors to be orthogonal?
They are opposite
They are perpendicular
They are equal
They are parallel
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for the projection of vector U onto vector V?
Difference of U and V
Cross product of U and V
Dot product of U and V divided by the magnitude of V squared
Sum of U and V
Tags
CCSS.HSN.VM.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the analogy, what does the closed road represent?
The vector U
The original path
The vector V
The final destination
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the 90-degree turn in the analogy?
It represents the start of the journey
It represents the end of the journey
It represents the perpendicular component
It represents the parallel component
Tags
CCSS.HSN-VM.B.4C
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the first vector component, W1, calculated?
By subtracting V from U
By adding U and V
By projecting U onto V
By multiplying U and V
Tags
CCSS.HSN.VM.A.2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of finding W2 in vector decomposition?
To find the perpendicular component
To find the parallel component
To find the direction
To find the magnitude
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