
Finding the angle between 2 vectors given vectors as linear combinations with angles
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Mathematics
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11th Grade - University
•
Practice Problem
•
Hard
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is NOT a way to represent a vector?
Unit vector with magnitude
Scalar multiplication
Linear combination
Component form
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which representation of a vector involves using cosine and sine functions?
Scalar multiplication
Unit vector with magnitude
Linear combination
Component form
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula to find the angle between two vectors U and V?
cos(Theta) = (U + V) / (magnitude of U * magnitude of V)
cos(Theta) = (U dot V) / (U + V)
cos(Theta) = (U dot V) / (magnitude of U * magnitude of V)
cos(Theta) = (U cross V) / (magnitude of U * magnitude of V)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the dot product of two vectors U and V?
U1 + V1 + U2 + V2
U1 / V1 + U2 / V2
U1 * V1 + U2 * V2
U1 * V2 + U2 * V1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of the dot product U dot V if U and V are perpendicular?
Depends on the vectors
Infinity
0
1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the magnitude of a unit vector?
0
Depends on the vector
1
Infinity
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the angle between two identical unit vectors?
0 degrees
45 degrees
90 degrees
180 degrees
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