a + 3b = (–4, 11)
Solution:
Given vectors are a = (–1, 2) and b = (–1, 3).
Adding two vectors:
Add first component of one with first component of other and
add second component of one with second component of other
To find a + 3b:
a + 3b = (–1, 2) + 3(–1, 3)
= (–1, 2) + (–3, 9)
= (–1 +(–3), 2 + 9)
= (–1 –3, 2 + 9)
= (–4, 11)
Hence a + 3b = (–4, 11).