8. Vectors

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

In Exercises 39–46, find the unit vector that has the same direction as the vector v.v = 3i - 4j

In Exercises 39–46, find the unit vector that has the same direction as the vector v.v = 3i - 2j

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

In Exercises 47–52, write the vector v in terms of i and j whose magnitude ||v|| and direction angle θ are given.||v|| = 6, θ = 30°

In Exercises 47–52, write the vector v in terms of i and j whose magnitude ||v|| and direction angle θ are given.||v|| = 12, θ = 225°

In Exercises 47–52, write the vector v in terms of i and j whose magnitude ||v|| and direction angle θ are given.||v|| = 1/2, θ = 113°

In Exercises 53–56, letu = -2i + 3j, v = 6i - j, w = -3i.Find each specified vector or scalar.4u - (2v - w)