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Unformatted text preview: MthSc 206 Topics  Exam 1 1 Vectors What two attributes does a vector possess? How is a vector different from a scalar? Given two points P and Q , define the displacement vector v . Given two vectors bfv and w (having the same dimension) and two scalars and , define (a) v + w ; (b) v ; (c) v w ; (d) v + w ; (e)  v  ; (f) v w ; (g) v w ; (h)  v  . How do you compute the angle between two vectors? What is the algebraic description of the direction of a vector v ? How do you show two vectors are perpendicular to one another? How do you show two nonzero vectors are parallel to one another? Define the vector projection of b onto a , i.e., proj a b . What is the scalar component of the vector projection of v onto u , i.e., comp u v ? What are some uses of vector projections? How do you find the work done by a force F in moving an object along a straight line from a point P ( x , y , z ) to a point Q ( x 1 , y 1 , z 1...
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This note was uploaded on 10/11/2010 for the course MTHSC 206 taught by Professor Chung during the Fall '07 term at Clemson.
 Fall '07
 Chung
 Multivariable Calculus, Vectors, Scalar

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