8. Vectors

In Exercises 5–8, let v = -5i + 2j and w = 2i - 4j Find the specified vector, scalar, or angle. 3v - 4w

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)

In Exercises 21–38, let u = 2i - 5j, v = -3i + 7j, and w = -i - 6j. Find each specified vector or scalar.

3v - 4w

In Exercises 1–4, u and v have the same direction. In each exercise: Is u = v? Explain.

Determine if the following statement is true or false: Temperature is a vector. 

Determine if the following statement is true or false: Acceleration is a vector. 

Determine if the following statement is true or false: The vectors $v$ and $-v$ point in the same direction.

Given vectors $u ⃗$ and $v ⃗$, sketch the resultant vector $u ⃗+v ⃗$

Given vectors $u ⃗$ and $v ⃗$, sketch the resultant vector $u ⃗-v ⃗$.

Given vectors $u ⃗$ and $v ⃗$, sketch the resultant vector $\(\frac\)12u⃗+v⃗$.