# WKS3 - Worksheet 3 Math 126 This worksheet should help with...

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This worksheet should help with your geometric visualization and under- standing, which will help you with other problems in this chapter. Also, there may be quiz or test problems which are similar some of these ques- tions. 1. Suppose that a and b are nonzero vectors. (a) Show by examples that comp a b and comp b a can be the same and can be diFerent. What conditions on a and b will guarantee they are the same? (b) Your friend who skips class frequently says, “I’m confused. Isn’t a · b = b · a ? If that is true, how can comp a b and comp b a be diFerent?” What is your answer? (c) Show by examples that proj a b and proj b a can be the same and can be diFerent. What conditions on a and b will guarantee they are the same? 2. Decide for each expression below whether it is a vector ( V ), a scalar ( S ), or nonsense ( N ). Note that a , b , u , and v are vectors, while c and d are scalars. Circle one:

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WKS3 - Worksheet 3 Math 126 This worksheet should help with...

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