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A curve defined by equations x = f(t) and y = g(t) is called a _______ curve.
parametric
The _______ vector represents the rate of change of position with respect to time.
velocity
A graph of points (r, θ) is called a ________.
polar curve
The magnitude of a vector is also called its _______.
absolute value
A vector's _______ form expresses the vector in terms of its horizontal and vertical components.
component
The _______ vector indicates the rate of change of the velocity vector with respect to time.
acceleration
The spiral defined by the polar equation r = θ is called the _________.
Archimedes spiral
The distance traveled along a parametric curve is given by the ________.
arc length of a parameterized curve
A quantity that has magnitude but no direction is called a ______.
scalar
A quantity that has both magnitude and direction is called a ______.
vector
The _______ of a vector is found by taking the square root of the sum of the squares of its components.
magnitude
The ________ of a vector is its direction measured as an angle from the positive x-axis.
direction angle
The ________ of a vector is found by multiplying its components by a scalar.
scalar multiple
The sum of two vectors is found by adding their corresponding _______.
components
The _______ of a vector is a vector with magnitude 1 in the same direction.
unit vector
The point where the parameter starts on a parametric curve is called the _______.
initial point
The point where the parameter ends on a parametric curve is called the _______.
terminal point
The combination of vectors that results from adding two or more vectors is the _______.
resultant vector
The method of adding vectors by placing the tail of one at the head of another is called _______.
tail-to-head representation
The _______ vector of a particle describes its position at a given time.
position
