36 University

ACT test prep
that actually works


ACT Math Tip

Vectors: Direction and Magnitude


Brush up on your right triangle skills to handle the most difficult of vector items! #newACTcontent #math #ACT #36U

Step 1: Use the Pythagorean theorem to find the magnitude of the vector.

The vector’s magnitude is approximately 3.5 meters per second.

Step 2: Use a trig ratio to find the direction of the vector.

In this case, we set up the tangent ratio to find the missing angle. The vector’s direction is approximately 31 degrees south of east.

ACT Math Tip – Period and Amplitude


Trig Function Graph with Period and Amplitude with Ducks on Water

Recognize period and amplitude from trig graphs—even if you haven’t had Advanced Algebra! #mathmonday #math #ACT #ACTPrep #36U

period = distance for function to complete one full cycle

amplitude = difference between maximum and minimum function values