8. Vectors

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

In Exercises 21–38, letu = 2i - 5j, v = -3i + 7j, and w = -i - 6j.Find each specified vector or scalar.-4w

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

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

In Exercises 31–32, find the unit vector that has the same direction as the vector v.v = -i + 2j

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

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

In Exercises 39–46, find the unit vector that has the same direction as the vector v.v = 6i