A small in-class quiz following our lecture.
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What can the dot product help us compute between two vectors?
The magnitude of a third vector
The angle between the two vectors.
What does the cross product of two vectors give us?
A vector that is orthogonal (i.e. perpendicular, or at a right angle) to both initial vectors
A vector that is parallel to both vectors.
What is the identity matrix?
A Matrix that when multiplied does not effect any other matrix. It has 1's across its diagonal.
A matrix with all zeroes.
Does order matter when multiplying matrices?
Yes, multiplying or 'concatenating' several matrices will provide a different ordering depending on the operations you perform.
It never matters.
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