Whats the answer for these vector in Rn questions :

Question

Q1:let u = (1,2,3). v = (2,2,-1).and w = (4,0,-4).

1.Find u - v and v - u.

2.Find u - v + 2w.

3.Find 5u -3v - 1/2w.

4.Find z, where 2u + v -w + 3z = 0.

Answer 1

You just add, subtract and multiply the components separately.

For example, (1,2,3) - (2,2,-1) = (-1,0,4) and 5(1,2,3) = (5,10,15).

The others are done similarly.