(2) Vectors - Lecture 2 Vectors What is a vector A scalar...

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Lecture 2 Vectors.
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What is a vector? What is a vector? A scalar quantity is onethat is represented by a single number. (Eg: Mass, length, time, temperature, volume.) A vector is a quantity which has both magnitudeand direction. (Eg: Displacement, velocity, force.) Direction: something like“Makes an angleof 36 ° with the horizontal as measured CCW” Notation: A or A (or A ) Magnitude (how long): | A | or A
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Equal vectors : Moving from P to Q, and from R to S: x Q x Q P x P x x S R x R x A B A = B Vector basics x Q x Q P x P x A -A Opposite vectors : Moving from P to Q, and from Q to P. Unit vector ( Â ): magnitude equals one. A = A Â
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Vector addition : Moving from P, to Q, to R x Q x Q P x P x x R x R A B C A B C = A - B C C = A + B Vector subtraction : It’s an addition! A - B = A +( - B ) Visually: What do I have to add to B to get A?
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ACT: Vector addition ACT: Vector addition All the vectors below have the same magnitude. Which of the following arrangements will produce the largest resultant when the two vectors are added?
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