
Vector Projection and Orthogonal Components

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

Jackson Turner
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the visual representation of projecting one vector onto another?
A shadow cast by a light source
A reflection in a mirror
A rotation around an axis
A translation along a plane
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the vector component orthogonal to another vector called?
Vector U
Vector V
Vector W sub 1
Vector W sub 2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which mathematical operation is used in the formula for vector projection?
Dot product
Matrix multiplication
Vector addition
Cross product
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the magnitude of vector V squared represented in the formula for projection?
As the sum of squares
As the product of components
As the difference of squares
As the square root of the sum of squares
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In vector projection, what does the dot product represent?
A matrix value
A vector value
A complex number
A scalar value
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the R2 example, what is the scalar multiple used to find the projection of U onto V?
3/5
14/10
7/10
1/2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the orthogonal component of vector U in the R2 example?
(1/2, -1/2)
(1/5, -2/5)
(3/5, 2/5)
(2/5, 1/5)
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