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exam2review - Math 10C Exam 2 Review Outline Basic...

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1 Math 10C Exam 2 Review Outline Basic Information for the Midterm Exam: The exam will consist of approximately 5 questions, with multiple parts . You will not be allowed a calculator on the exam, so please do not bring one. You should bring a number two pencil. (You can bring more than one if you feel so inclined.) You are not permitted a page of notes, but a reference sheet with relevant formulas will be provided on the exam. Also bring your student ID card , as we will be checking those at the exam. We reserve the right to place your backpacks in the front of the class. Also, don’t worry about bringing a blue book, as you will be able to write directly on the exam. The exam will be held in class (Peterson 110) on Wednesday, May 23 rd , 2007 . You should have sufficient time to go back through your work and check your math. Remember, does your answer make sense? (Draw a picture/plug numbers in.) Do not cheat on this exam. Cheating will be taken seriously and you will fail the course . So, please do not cheat. Also, solutions will be posted on my website http://math.ucsd.edu/~wgarner/math10c/ some time after the exam so you can get a rough idea how you did (by Friday). Exams will be returned in section on Tuesday, May 29 th .
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Math 10C Exam 2 Review Outline 2 Sections 13.1 / 13.2: Displacement Vectors / Vectors in General Know how to add and subtract vectors. Know how to multiply vectors by a scalar multiple and what this does to the magnitude (length) of a vector. Know how to the find length of a vector. (This is essentially just the distance formula.) - ex. Gilligan walks due east at 2 miles/hour on the deck of the HMS Friday as it steams due south at 12 miles/per hour. Find the speed and direction of Gilligan relative to the surface of the water. Know how to find a unit vector from an arbitrary vector - ex. Suppose v = 3 i + 4 j + 12 k . Find a unit vector in the direction of v . - ex. Find a unit vector perpendicular to i j + k . Know how to break vectors into their components. - ex. Break the vector connecting P (1, 0, -1) and Q (2, 4, 5) into components. Know the properties of addition and scalar multiplication (see page 661) Section 13.3: The Dot Product Know how to take the dot product of two vectors. (Know both formulas.) Know how to use the properties of the dot product to find out information about vectors - ex. If 0 ⋅= ab G G , what can we say about a G and b G ? - ex. Suppose v = i j + k and w = i + 2 j . Compute v ÿ w . What is the angle between v and w ? Find a unit vector in the direction of v . Know how to compute the angle at the vertex of a point in 3-space - Form two vectors that start at the point and find the angle between them using the dot product Know that 2 vv v GG G , then length of v , squared.
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exam2review - Math 10C Exam 2 Review Outline Basic...

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