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A number with units is referred to as a __. However, because it is not enough, what else is required?
direction and magnitude
What is the magnitude?
A quantity that is specified by both a magnitude and direction is called a __.
the distance covered
The magnitude of a velocity vector is its __, and its direction is the __.
In general, to find the components of a vector, we need to __. In two dimensions, we choose an _, and a __ for both the x and y axes.
set up a coordinate system
What is the rule for adding vectors?
To add the vectors A and B, place the tail of B at the head of A. The sum, C=A+B is the vector extending from the tail of A to the head of B
The sum of vectors is __ of the order in which the vectors are added
The negative of a vector is represented by an __. That is, __.
arrow of the same length as the original vector, but pointing in the opposite direction
multiplying a vector by minus one reverses its direction
Describe unit vectors.
defined to be dimensionless vectors of unit magnitude pointing in the positive x and y directions, respectively
Explain multiplying vectors
+x --> increases the magnitude by a factor of x and maintains the direction of the vector
-x --> increases the magnitude by a factor of x and changes the direction of the vector