8. Vectors

Geometric Vectors

Multiple Choice
Determine if the following statement is true or false: Temperature is a vector.
Multiple Choice
Determine if the following statement is true or false: Acceleration is a vector.
Multiple Choice
Determine if the following statement is true or false: The vectors $v$ and $-v$ point in the same direction.
Multiple Choice
Given vectors $u ⃗$ and $v ⃗$ , sketch the resultant vector $u ⃗+v ⃗$
Multiple Choice
Given vectors $u ⃗$ and $v ⃗$ , sketch the resultant vector $u ⃗-v ⃗$ .
Multiple Choice
Given vectors $u ⃗$ and $v ⃗$ , sketch the resultant vector $\frac12u⃗+v⃗$ .
Multiple Choice
Given vectors $u ⃗$ and $v ⃗$ , sketch the resultant vector $-2u ⃗+3v ⃗$ .
Open Question
In Exercises 1–4, u and v have the same direction. In each exercise:Find ||u||.
Open Question
In Exercises 1–4, u and v have the same direction. In each exercise:Find ||v||.
Open Question
In Exercises 1–4, u and v have the same direction. In each exercise:Find ||u||.
Open Question
In Exercises 1–4, u and v have the same direction. In each exercise:Is u = v? Explain.
Open Question
In Exercises 1–4, u and v have the same direction. In each exercise:Find ||v||.
Open Question
If P₁ = (-2, 3), P₂ = (-1, 5), and v is the vector from P₁ to P₂,Write v in terms of i and j.
Open Question
In Exercises 5–12, sketch each vector as a position vector and find its magnitude.v = 3i + j
Open Question
In Exercises 5–12, sketch each vector as a position vector and find its magnitude.v = i - j