Write the vectors labeled A, B and C with rectangular coordinates.

Focus on vector A. Start at the base of the vector which is at (1,1)

Then notice how we have to move 3 units to the right and 2 units up to get to the tip of the vector where the arrow is located. So this is at (4,3)

The fact that we moved 3 units to the right and 2 units up means that vector A is <3, 2>

So we'll type 3 in the first box and 2 in the second box.

We use the same idea for vector B

Start at the base and move to the tip. Doing so has us move 1 unit left and 3 units down.

Vector B = <-1, -3>

We type -1 in the first box, and -3 in the second box.

Finally onto vector C

Start at the base (0,0). To move to the tip, we need to go 3 units left and 3 units up

Vector C = <-3, 3>

-3 goes in the first box and 3 goes in the second box

In general, vectors are useful to tell us a specific direction in which to go. They're useful in physics to determine how exactly a force is being applied, or how a particle is moving.

a sonic boom is a loud boom that breaks the sound barrier

explanation: