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Lecture 3 - Vectors

# Lecture 3 - Vectors - Unit vectors ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ...

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Vectors

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1. 2. 3. 4. and A B C A B B A A B C s vt F ma + = + = + - = = = ur ur ur ur ur ur ur ur r r ur r
5. A ˆ ˆ ˆ x y z x y z A A A A i A j A k = + + = + + ur uur

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( 29 ( 29 ( 29 ˆ ˆ ˆ ˆ ˆ ... ... x y z x x x x x x y y y z z z A B C A i A j A k B i A B i C A B C A B C A B + = + + + + = + + = + = + = + ur ur ur
( 29 ( 29 6. Dot (scalar, inner) product cos Unit vectors ˆ ˆ ˆ ˆ 1 0 etc. ˆ ˆ ... ... cos x x x x y y z z A B AB i i i j A B A i B i A B A B A B AB θ θ = = = = + + = + + = ur ur ur ur

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Polarized light
7. Vector cross product sin A B C C AB A B B A θ × = = × = - × ur ur ur ur ur ur ur ur

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7. Vector cross product (cont'd) Unit vectors ˆ ˆ
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Unformatted text preview: Unit vectors ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ i j k j i k j j × = × = -× = ( 29 ( 29 ( 29 ( 29 ( 29 7. Vector cross product (cont'd) ˆ ˆ ... ... ˆ ˆ ˆ ˆ ˆ ˆ x y z x y z y z z y z x x z x y y x Axi Bxi mess i j k A A A B B B i A B A B j A B A B k A B A B + × + = = =-+-+-...
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Lecture 3 - Vectors - Unit vectors ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ...

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