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265Lesson01Problems - MATH 265 MULTIVARIABLE CALCULUS...

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MATH 265: MULTIVARIABLE CALCULUS: LESSON 1 PROBLEMS (1) Upload the pdf file with the solutions to these problems to Blackboard for grading. Be sure to show all the steps necessary for the solution. The work must be organized so that I can follow your steps. (2) In this and all future assignments, always give answers in exact form if possible. Decimal approximations are used only when there is no choice. For example, if an answer to a problem works out to 2 π , leave that answer in that form. Do not use a calculator to find the decimal approximation 4 . 442882938 . (3) Be sure to use correct notation for vectors. That means enclosing vec- tor components in brackets ( ( a, b, c ) ) and writing arrows above symbols representing vectors ( −→ v ). (4) Be sure to remember items (1), (2), and (3) for all future assignments! Problems are worth 20 points each. (1) Let −→ v = ( 3 , 1 ) , and −→ w = ( 1 , 2 ) . (a) Sketch the vectors −→ v , −→ w , −→ v −→ w , and 2 −→ v + −→ w . (b) Find a unit vector in the direction of
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