Pre-Calculus

Given vectors

a = (-1,2)

b = (-1,3)

Find a+3b

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).