Phys 0174 Fall 2008 - Chapter 03, 4 slides

Phys 0174 Fall 2008 - Chapter 03, 4 slides - Chapter 3...

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1 Chapter 3 Vectors Geometric vector addition and subtraction ¾ Resolving a vector into its components ¾ The notion of a unit vector ¾ Add and subtract vectors by components ¾ Multiplication of a vector by a scalar ¾ The scalar (dot) product of two vectors ¾ The vector (cross) product of two vectors 2 A scalar quantity is one that can be described by a single number: temperature, speed, mass A vector quantity deals inherently with both magnitude and direction: velocity, force, displacement 3 Often it is necessary to add one vector to another. 4
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5 2.00 m 6.00 m () 22 2 2.00 m 6.00 m 2.00 m 6.00 6.32m m R R R =+ = θ 1 tan 2.00 6.00 tan 2.00 6.00 18.4 = == D 6 Geometric vector Subtraction We write: From vector Then we add to vector we find =−=+− =− daba b d bb a ba b GG G G G G G G Note: We can add and subtract vectors using the method of components. 7 A B C A component of a vector along an axis is the projection of the vector on this axis. For example is the projection of along the x-axis. The component is defined by drawing straight lines fr x x a a a G
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Phys 0174 Fall 2008 - Chapter 03, 4 slides - Chapter 3...

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