Chapter 11 test

Flashcards:

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Card 1 (Front): A curve defined by equations x = f(t) and y = g(t) is called a _______ curve. (Back) parametric

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Card 2 (Front): The _______ vector represents the rate of change of position with respect to time. (Back) velocity

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Card 3 (Front): A graph of points (r, θ) is called a ________. (Back) polar curve

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Card 4 (Front): The magnitude of a vector is also called its _______. (Back) absolute value

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Card 5 (Front): A vector's _______ form expresses the vector in terms of its horizontal and vertical components. (Back) component

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Card 6 (Front): The _______ vector indicates the rate of change of the velocity vector with respect to time. (Back) acceleration

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Card 7 (Front): The spiral defined by the polar equation r = θ is called the _________. (Back) Archimedes spiral

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Card 8 (Front): The distance traveled along a parametric curve is given by the ________. (Back) arc length of a parameterized curve

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Card 9 (Front): A quantity that has magnitude but no direction is called a ______. (Back) scalar

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Card 10 (Front): A quantity that has both magnitude and direction is called a ______. (Back) vector

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Card 11 (Front): The _______ of a vector is found by taking the square root of the sum of the squares of its components. (Back) magnitude

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Card 12 (Front): The ________ of a vector is its direction measured as an angle from the positive x-axis. (Back) direction angle

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Card 13 (Front): The ________ of a vector is found by multiplying its components by a scalar. (Back) scalar multiple

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Card 14 (Front): The sum of two vectors is found by adding their corresponding _______. (Back) components

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Card 15 (Front): The _______ of a vector is a vector with magnitude 1 in the same direction. (Back) unit vector

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Card 16 (Front): The point where the parameter starts on a parametric curve is called the _______. (Back) initial point

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Card 17 (Front): The point where the parameter ends on a parametric curve is called the _______. (Back) terminal point

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Card 18 (Front): The combination of vectors that results from adding two or more vectors is the _______. (Back) resultant vector

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Card 19 (Front): The method of adding vectors by placing the tail of one at the head of another is called _______. (Back) tail-to-head representation

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Card 20 (Front): The _______ vector of a particle describes its position at a given time. (Back) position