`bbu = -2bbi + bbj, bbv = 3bbj` 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 + j`

`v = 0i + 3j`

`u + v = (-2+0)i + (1+3)j`

`u + v = -2i+4j`

Hence, evaluating the sum `u + v` yields `u + v = -2i+4j.`

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 + j`

`v = 0i + 3j`

`u - v = (-2-0)i + (1-3)j`

`u - v = -2i-2j`

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

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 + j=> 2u = -4i + 2j`

`v = 0i + 3j => 3v = 0i + 9j`

`2u - 3v = -4i + 2j - 0i - 9j => 2u - 3v = -4i - 7j`

Hence, evaluating the difference `2u - 3v ` yields `2u - 3v = -4i - 7j.`