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Properties Of The Dot Product

Which property of the dot product states that the order of the operands doesn't matter?

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?

Which property of the dot product is expressed as: A . B = |A| |B| cos(θ), where θ is the angle between the vectors?

Fill in the blank:

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].

Is this statement true or 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:

Fill in the blank:

The dot product of a vector with itself is equal to ________.