`bbu = 2bbi, bbv = bbj` Find (a) `bbu + bbv`, (b) `bbu - bbv`, and (c) `2bbu - 3bbv`.

You need to evaluate the sum of two vectors,u+v, hence you need to perform the addition of the same versors, such that:

u = 2i + 0j

v = 0i + j

u + v = (2+0)i + (0+1)j

u + v = 2i+j

Hence, evaluating the sum u + v yields u + v = 2i+j.

You need to evaluate the difference of two vectors,u-v, hence you need to perform the subtraction of the...

You need to evaluate the sum of two vectors,u+v, hence you need to perform the addition of the same versors, such that:

u = 2i + 0j

v = 0i + j

u + v = (2+0)i + (0+1)j

u + v = 2i+j

Hence, evaluating the sum u + v yields u + v = 2i+j.

You need to evaluate the difference of two vectors,u-v, hence you need to perform the subtraction of the same versors, such that:

u = 2i + 0j

v = 0i + j

u - v = (2-0)i + (0-1)j

u - v = 2i-j

Hence, evaluating the difference u - v yields u - v = 2i-j.

You need to evaluate the difference of the vectors,2u-3v, hence you need to perform first the multiplication of each vector with the indicated scalar and then you need to perform the subtraction of the same versors, such that:

u = 2i + 0j => 2u = 4i + 0j 

v = 0i + j => 3v = 0i + 3j

2u - 3v = 4i + 0j - 0i - 3j => 2u - 3v = 4i - 3j

Hence, evaluating the difference 2u - 3v yields 2u - 3v = 4i - 3j.