If vector u is (5, 3) and vector v is (1, 4), what is the component form of vector u + v?

To find the component form of the sum of two vectors, you simply add the corresponding components of each vector together.

Given vectors:

• Vector u = (5, 3)
• Vector v = (1, 4)

Now, add the x-components and y-components separately:

• x-component: 5 + 1 = 6
• y-component: 3 + 4 = 7

Thus, the component form of vector u + v is (6, 7).