Determine whether each statement is true or false. If a statement is true, give a reason or cite an appropriate statement from the text. If a statement is false, provide an example that shows the statement is not true in all cases or cite an appropriate statement from the text.(a) The norm of the vector u is the angle between u and the positive x-axis. (b) The angle θ between a vector v and the projection of u onto v is obtuse when the scalar a < 0 and acute when a > 0, where av = projvu.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Determine whether each statement is true or false. If a statement is true, give a reason or cite an appropriate statement from the text. If a statement is false, provide an example that shows the statement is not true in all cases or cite an appropriate statement from the text.
(a) The norm of the vector u is the angle between u and the positive x-axis.
(b) The angle θ between a vector v and the projection of u onto v is obtuse when the scalar a < 0 and acute when a > 0, where av = projvu.

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