Linear Algebra

How to solve

Scalar multiplication stretches each component; vector addition adds matching components.

Steps

  1. Multiply each vector by its scalar componentwise.
  2. Add the x-components together and the y-components together.
  3. Write the result as a vector.

Example

2(3, −1) + 3(1, 2)

  1. 2(3, −1) = (6, −2).
  2. 3(1, 2) = (3, 6).
  3. (6+3, −2+6) = (9, 4).

Answer: (9, 4)

How to type answers

  • Write vectors like (9, 4)
Loading drills…