?For the following exercises, use the given vectors a and b.a. Determine the vector sum

Chapter 2, Problem 17

(choose chapter or problem)

For the following exercises, use the given vectors a and b.

a. Determine the vector sum a + b and express it in both the component form and by using the standard unit vectors.

b. Find the vector difference a − b and express it in both the component form and by using the standard unit vectors.

c. Verify that the vectors a, b, and a + b, and, respectively, a, b, and a − b satisfy the triangle inequality.

d. Determine the vectors 2a, −b, and 2a − b. Express the vectors in both the component form and by using standard unit vectors.

Let a be a standard-position vector with terminal point (−2, −4). Let b be a vector with initial point (1, 2) and terminal point (−1, 4). Find the magnitude of vector −3a + b − 4i + j.