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forsale [732]
3 years ago
6

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

Mathematics
1 answer:
otez555 [7]3 years ago
8 0

Answer:

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

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