Ch 01: Units, Physical Quantities & Vectors
Chapter 1, Problem 1
(a) Find the scalar product of the vectors A and B given in Exercise 1.38.
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Textbook Question
For the vectors A and B in Fig. E1.24, use a scale drawing to find the magnitude and direction of (b) the vector difference A − B.
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Textbook Question
A spelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a direction 45° east of south, and then 280 m at 30° east of north. After a fourth displacement, she finds herself back where she started. Use a scale drawing to determine the magnitude and direction of the fourth displacement.
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Textbook Question
For the two vectors A and B in Fig. E1.39, find (a) the scalar product A · B
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Textbook Question
A disoriented physics professor drives 3.25 km north, then 2.20 km west, and then 1.50 km south. Find the magnitude and direction of the resultant displacement, using the method of components. In a vector-addition diagram (roughly to scale), show that the resultant displacement found from your diagram is in qualitative agreement with the result you obtained by using the method of components.
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Textbook Question
Given two vectors A = 4i + 7j and B = 5i - 2j, (a) find the magnitude of each vector;
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Textbook Question
You are given two vectors A = -3i + 6j and B = 7i + 2j. Let Counterclockwise angles be positive (a) What angle does A make with the +x-axis?
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