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Which property of the dot product states that the order of the operands doesn't matter?
Associative property
Commutative property
Distributive property
Identity property
Fill in the blank:
________ property of the dot product is expressed as:
A . (B + C) = A . B + A . C .
If the dot product of two vectors is zero, what can be concluded about the angle between them?
The angle is acute.
The angle is obtuse.
The vectors are parallel.
The vectors are orthogonal.
Which property of the dot product is expressed as: A . B = |A| |B| cos(θ), where θ is the angle between the vectors?
Geometric property
Magnitude property
If the dot product of two vectors is positive, then the angle between them ________.
Is this statement true or false?
The range of possible values for the dot product of two non-zero vectors is [−∞, ∞]\left[-\infty,\ \infty\right][−∞, ∞].
True
False
Associative property of the dot product states that it is distributive over vector addition.
If the dot product of two vectors is negative, what can be said about the angle between them?
The dot product of two non-zero parallel vectors is:
0
1
The product of their magnitudes
Undefined
The dot product of a vector with itself is equal to ________.
The magnitude of the vector squared
The magnitude of the vector cubed
It is done.