8. Vectors

In Exercises 5–12, sketch each vector as a position vector and find its magnitude.v = -6i - 2j

In Exercises 5–12, sketch each vector as a position vector and find its magnitude.v = -4i

In Exercises 13–20, let v be the vector from initial point P₁ to terminal point P₂. Write v in terms of i and j.P₁ = (-4, -4), P₂ = (6, 2)

In Exercises 13–20, let v be the vector from initial point P₁ to terminal point P₂. Write v in terms of i and j.P₁ = (-8, 6), P₂ = (-2, 3)

In Exercises 13–20, let v be the vector from initial point P₁ to terminal point P₂. Write v in terms of i and j.P₁ = (-1, 7), P₂ = (-7, -7)

In Exercises 13–20, let v be the vector from initial point P₁ to terminal point P₂. Write v in terms of i and j.P₁ = (-3, 4), P₂ = (6, 4)

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

In Exercises 22–24, sketch each vector as a position vector and find its magnitude.v = -3i - 4j

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

In Exercises 22–24, sketch each vector as a position vector and find its magnitude.v = -3j

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

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 = (2, -1), P₂ = (5, -3)

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

In Exercises 27–30, letv = i - 5j and w = -2i + 7j.Find each specified vector or scalar.w - v