Understanding Unit Normal Vectors
Interactive Video
•
Mathematics, Science
•
10th - 12th Grade
•
Practice Problem
•
Hard
Lucas Foster
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the function f(x, y) given in the introduction?
12x^2
12x^3
12y^2
12y^3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the condition for the gradient of F to ensure a unit normal vector can be found?
F is a linear function
F is a constant function
Gradient of F does not equal zero
Gradient of F equals zero
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the partial derivative of F with respect to x?
3x^2
12x^2
6x
x^3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of the y-component of the gradient of F?
-1
3
0
1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the z-component of the gradient of F?
-1
3
0
1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the x-component of the normal vector at the point (2, -3a, 4)?
3
6
9
12
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the magnitude of the normal vector before normalization?
√49
√25
√36
√37
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