8. Vectors

Geometric Vectors

Textbook Question
In Exercises 5–8, letv = -5i + 2j and w = 2i - 4jFind the specified vector, scalar, or angle.3v - 4w
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Textbook Question
In Exercises 25–26, let v be the vector from initial point P₁ to terminal point P₂. Write v in terms of i and j.P₁ = (-3, 0), P₂ = (-2, -2)
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Textbook Question
In Exercises 21–38, letu = 2i - 5j, v = -3i + 7j, and w = -i - 6j.Find each specified vector or scalar.3v - 4w
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Textbook Question
In Exercises 1–4, u and v have the same direction. In each exercise:Is u = v? Explain.
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Multiple Choice
Determine if the following statement is true or false: Temperature is a vector.
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Multiple Choice
Determine if the following statement is true or false: Acceleration is a vector.
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Multiple Choice
Determine if the following statement is true or false: The vectors $v$ and $-v$ point in the same direction.
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Multiple Choice
Given vectors $u ⃗$ and $v ⃗$ , sketch the resultant vector $u ⃗+v ⃗$

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Multiple Choice
Given vectors $u ⃗$ and $v ⃗$ , sketch the resultant vector $u ⃗-v ⃗$ .
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Multiple Choice
Given vectors $u ⃗$ and $v ⃗$ , sketch the resultant vector $\frac12u⃗+v⃗$ .
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Multiple Choice
Given vectors $u ⃗$ and $v ⃗$ , sketch the resultant vector $-2u ⃗+3v ⃗$ .
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Textbook Question
In Exercises 1–4, u and v have the same direction. In each exercise:Find ||u||.
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Textbook Question
In Exercises 1–4, u and v have the same direction. In each exercise:Find ||v||.
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Textbook Question
In Exercises 1–4, u and v have the same direction. In each exercise:Find ||u||.
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Textbook Question
In Exercises 1–4, u and v have the same direction. In each exercise:Is u = v? Explain.
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