Question

If b = ⟨4,6⟩ and c = ⟨ – 3,2⟩, find the sum b + c.

Answer 1

To find the sum of the vectors b and c, you add their corresponding components, resulting in the vector ⟨1,8⟩.

Step-by-step explanation:

To find the sum of the vectors b = ⟨4,6⟩ and c = ⟨– 3,2⟩, we add the corresponding components of the vectors:

• The sum of the x-components: 4 + (-3) = 1
• The sum of the y-components: 6 + 2 = 8

Therefore, the sum b + c is the vector ⟨1,8⟩.