
Understanding Unit Tangent Vectors

Interactive Video
•
Mathematics
•
10th - 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 main goal of the problem discussed in the video?
To solve a system of linear equations.
To determine the maximum value of a function.
To calculate the area under a curve.
To find a unit tangent vector to a level curve at a specific point.
Tags
CCSS.8.EE.B.6
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between two perpendicular vectors in terms of their slopes?
Their slopes are both zero.
Their slopes are positive reciprocals.
Their slopes are negative reciprocals.
Their slopes are equal.
Tags
CCSS.8.EE.B.6
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the x-component of the gradient vector determined?
By differentiating the function with respect to y.
By integrating the function with respect to x.
By finding the average of x and y.
By differentiating the function with respect to x.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the y-component of the gradient vector at the point (-1, 4)?
16
-36
5
1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the slope of the tangent vector if the normal vector has a slope of 9/4?
9/4
4/9
-4/9
-9/4
Tags
CCSS.HSF.TF.C.8
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the x-component of the tangent vector with a slope of 4/9?
4
36
9
16
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the unit tangent vector obtained from the tangent vector?
By subtracting the tangent vector from its magnitude.
By multiplying the tangent vector by its magnitude.
By adding the tangent vector to its magnitude.
By dividing the tangent vector by its magnitude.
Tags
CCSS.HSN.VM.A.1
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