Textbook Question
In Exercises 53–56, letu = -2i + 3j, v = 6i - j, w = -3i.Find each specified vector or scalar.||u + v||² - ||u - v||²
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8. Vectors
Geometric Vectors
Back8. Vectors
Geometric Vectors
- Textbook QuestionIn Exercises 61–64, find the magnitude ||v||, to the nearest hundredth, and the direction angle θ, to the nearest tenth of a degree, for each given vector v.v = -10i + 15j572views
- Textbook QuestionIn Exercises 61–64, find the magnitude ||v||, to the nearest hundredth, and the direction angle θ, to the nearest tenth of a degree, for each given vector v.v = (4i - 2j) - (4i - 8j)593views
- Textbook Question
Use the figure to find each vector: u + v. Use vector notation as in Example 4.
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Use the figure to find each vector: u - v. Use vector notation as in Example 4.
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Use the figure to find each vector: - u. Use vector notation as in Example 4.
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Use the figure to find each vector: u + v. Use vector notation as in Example 4.
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Use the figure to find each vector: u - v. Use vector notation as in Example 4.
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Use the figure to find each vector: - u. Use vector notation as in Example 4.
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Use the figure to find each vector: u + v. Use vector notation as in Example 4.
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Use the figure to find each vector: u - v. Use vector notation as in Example 4.
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Use the figure to find each vector: - u. Use vector notation as in Example 4.
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Find the magnitude and direction angle for each vector. Round angle measures to the nearest tenth, as necessary.
〈15, -8〉
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Find the magnitude and direction angle for each vector. Round angle measures to the nearest tenth, as necessary.
〈-4, 4√3〉
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Refer to vectors a through h below. Make a copy or a sketch of each vector, and then draw a sketch to represent each of the following. For example, find a + e by placing a and e so that their initial points coincide. Then use the parallelogram rule to find the resultant, as shown in the figure on the right.
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a + (b + c)
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