For the vectors u = & v= , find 3u+2v & u-v

u = -3i + 4j

v = 4i +
5j

3u + 2v = 3(-3i + 4j) + 2(4i +
5j)

We'll open the
brackets:

3u + 2v = -9i + 12j + 8i +
10j

We'll combine like
terms:

3u + 2v = -i +
22j

We'll calculate u - v:

u -
v = -3i + 4j - 4i - 5j

We'll combine like
terms:

u - v = -7i -
j

The results for the requested vectorial
expresisons are: 3u + 2v = -i + 22j and u - v = -7i -
j.