Given vectors: p=2i-j, q=-i+j
find: 1. p+q
2.p-q
3. 2p-3q

see explanation

Step-by-step explanation:

(1)

p + q

= 2i - j + i + j ← collect like terms

= 3i

(2)

p - q

= 2i - j - (i + j) ← distribute parenthesis by - 1

= 2i - j - i - j ← collect like terms

= i - 2j

(3)

2p - 3q

= 2(2i - j) - 3(i + j) ← distribute parenthesis

= 4i - 2j - 3i - 3j ← collect like terms

= i - 5j

answer: a.

step-by-step explanation: the answer is a. because, you need to converge the fractions to find a solution.