What is a key difference between the dot product and the cross product?

Understanding Dot and Cross Products

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

Emma Peterson
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Dot product is defined in R3, cross product is defined in any dimension.
Dot product results in a vector, cross product results in a scalar.
Dot product is only used in physics, cross product is used in calculus.
Dot product results in a scalar, cross product results in a vector.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In which dimension is the cross product defined?
R4
R2
R3
Rn
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of a cross product of two vectors?
A vector orthogonal to the original vectors
A zero vector
A scalar
A matrix
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When calculating the cross product, what is the operation for the middle term?
Subtraction of all terms
Addition of all terms
Opposite of the first term
Same as the first term
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example given, what is the first component of the cross product of vectors (1, -7, 1) and (5, 2, 4)?
1
37
0
-30
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the cross product in relation to planes?
It has no relation to planes.
It results in a vector orthogonal to the plane.
It results in a vector parallel to the plane.
It defines the plane itself.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What rule helps determine the direction of the cross product vector?
Index rule
Thumb rule
Right hand rule
Left hand rule
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