Chapter 11 test

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