# Review1 - First Midterm Today Clock starts at 6:00 pm be in...

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First Midterm Today Clock starts at 6:00 pm; be in your seat at 5:50 pm Location: MLB (next to clock tower), Auditorium 3 Alternate seating; no seating outside the columns Must have UM ID and #2 pencil(s) Closed-book , 90 minutes, multiple-choice, 20 questions, no penalty for guessing Can have one 3”×5” notecard (double-sided) with any formulas/equations/diagrams Can have a calculator that looks like a calculator No laptops, no cell phones, no text-messaging devices, no communication devices of any type

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Additional Office Hours Today for 30 minutes right after the class Today from 3:10 to 4:30
eview 1 General Physics I Mechanics Racquetball Striking a Wall Review 1 Physics 140 Mt. Etna Stewart Hall

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• Vector: • Magnitude: Vectors ( 29 z y x z y x A A A k A j A i A A , , ˆ ˆ ˆ = + + = r r • Addition of vectors: • Multiplication by a number: 2 2 2 | | z y x A A A A A + + = = ( 29 ( 29 ( 29 k B A j B A i B A B A z z y y x x ˆ ˆ ˆ + + + + + = + r r k A j A i A A z y x ˆ ˆ ˆ α + + = r
Products of Vectors • Scalar (dot) product – a number: • Vector (cross) product – a vector: – Magnitude: – Direction: given by the right-hand rule ϕ sin | | AB B A = × r r z z y y x x B A B A B A AB B A + + = = cos r r – In components: • Angle between two vectors: ( 29 ( 29 ( 29 k B A B A j B A B A i B A B A B A x y y x z x x z y z z y ˆ ˆ ˆ - + - + - = × r r 2 2 2 2 2 2 cos z y x z y x z z y y x x B B B A A A B A B A B A AB B A + + + + + + = = r r B B A A B A r r r r r r × ×

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Unit Vectors • Three vectors of magnitude 1 perpendicular to each other forming a right-handed triad k k j j i i 1 0 cos 1 1 ˆ ˆ ˆ ˆ ˆ ˆ = = = = j k i i j k k i j j i k i
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Review1 - First Midterm Today Clock starts at 6:00 pm be in...

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