Vector Algebra	Jan. 24, 2007

+ vector [equation] , [equation] a unit vector, [equation] magnitude of a vector AND [equation] .
Example 1.4: Unit vector

+ Dot product: [equation] , project of vector [equation] onto direction of unit vector [equation] , i.e. component of [equation] along 1 direction.

+ Application of dot product in 3D space, having 1, 2, 3 ORTHOGONAL axes, [equation] [equation] .
Example 1.5: Application of dot product

+ We choose right-handed system (obey right rule) so that [equation] etc.

+ In a coordinate system with ([equation] ), [equation] .
[equation] (non-commutative); [equation] .
Example 1.6: Cross product

+ Triple products.
[equation]
[equation]
Example 1.7: Triple product
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HW #2	due 1/30/07
1. Electric field intensities [equation] , [equation] and [equation] . Find total electric field intensity [equation] as a single cos function of time using phasor techniques.
2. Solve problem 2.3 a) & b) as well as i) component of [equation] in direction of [equation] , ii) the smallest angle between [equation] and [equation] , iii) [equation] (page 67).
Extra-Credit
Find steady state current i of a RL circuit with L=2 H and R=8[equation] which can be modeled by the following differential equation: [equation] where [equation] with phasor technique. Also the average power [equation] with the phasor formula, [equation] .

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Last Modified: January 21, 2007
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