Vectors_PLS

Vectors_PLS - Department of Mechanical Engineering Vectors...

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Department of Mechanical Engineering Vectors ES 140 Section 5 Fall 2006
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Department of Mechanical Engineering Properties of Vectors Scalars : Quantities that possess only magnitude (e.g. length, area) Vectors : Quantities that posses both magnitude and direction (e.g. velocity, force)
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Department of Mechanical Engineering Vector or Scalar? Examples: Speed - describes how fast something is moving. Scalar or vector? Velocity - describes how fast something is moving and in which direction. Scalar or vector? Distance - A length. Scalar or vector? Displacement - A length in a certain direction. Scalar or vector?
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Department of Mechanical Engineering Vectors – Cartesian Coordinates Vectors in the XYZ coordinate system (Cartesian system) – Named for ? Vectors can be represented in many ways: By three Cartesian coordinates (x, y, z). For example (5, 7, 2) would represent a vector 5 units in the x-direction, 7 units in the y- direction and 2 units in the z-direction.
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Mechanical Engineering Vectors – Unit vector representation Using a set of unit vectors i , j , k , whose magnitudes are 1, and whose directions coincide with the X, Y and Z axes, we can describe the vector mathematically as P =x i + y j + z k . Thus P =5 i + 7 j +2 k , is a vector with coordinates 5, 7 and 2, respectively. This vector can also be written as:
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This test prep was uploaded on 04/08/2008 for the course ES 140 taught by Professor Varies during the Fall '07 term at Vanderbilt.

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Vectors_PLS - Department of Mechanical Engineering Vectors...

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