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Unformatted text preview: Vectors
Vectors
Section 94 A vector is a quantity that has both magnitude, or length, and direction, and is represented by a directed segment.
Magnitude
Direction uuu
v
AB where A is the initial point and
B is the endpoint . A vector in standard position has its initial point at the origin. (5, 4) The ordered pair representation of a vector is called the component form of the vector. The Distance Formula can be used to find the magnitude of a vector. The symbol for the uuu
r
uuu
r
magnitude of is .
AB
AB The direction of a vector is the measure of the angle that the vector forms with the positive x
axis or any other horizontal line. You can use the trig. Ratios to find the direction of a vector. Two vectors are equal iff they have the same magnitude and direction. Two vectors are parallel iff they have the same or opposite direction To add two vectors, add the corresponding components. The sum of 2 vectors is called the resultant. To multiply a vector by a scalar, multiply each component by the scalar. Multiplying a vector by a positive scalar is called scalar multiplication. Joke Time
Joke Time Why was the baby cookie sad? His mother was a wafer a while. Why couldn’t the elephant hide in the cherry tree? He forgot to paint his toenails red. ...
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This note was uploaded on 12/01/2011 for the course MATH 105 taught by Professor Towns during the Fall '10 term at BYU.
 Fall '10
 Towns
 Geometry, Vectors

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