Question

Find the component form of v = u + 2w, where u = 2i- j and w = i + 2j.

Answer 1

We have the next vectors:

u = 2i- j

w = i +2j

Now, we need to find v = u + 2w:

Where 2w:

2(w = i +2j) = 2w = 2i+4j

Then, u+2w:

(2i- j) + 2i+4j = 2i-j+2i + 4j = 4i + 3j

Hence, the answer is v= 4i + 3j