Vectors: Finding Magnitude and Direction

For the following vector addition diagrams, use Pythagorean Theorem to determine the magnitude of the resultant.

• R = 7 m

• R = 25 m

• R = 5 m

• R = 2.5 m

Use SOH CAH TOA to determine the direction of the resultant.

• 53.1^o CCW from East

• 143.1^o CCW from East

• 36.9^o CCW from East

• 126.9^o CCW from East

Dexter walked 60 meters at a direction of 135° and then walked 20 meters at a direction of 45°. Use the Pythagorean theorem to determine the magnitude of the resultant displacement.

• R = 142.3 m

• R = 4000 m

• R = 80 m

• R = 63.2 m

Which is the Resultant? (Hint: The Resultant starts at the tail of the 1st vector and end at the head of the last vector)

• A

• B

• C

Pepe walks 10m east and then walks 12m North to sharpen his pencil. What is the magnitude of the resultant.

• R = 22 m

• R = 15.6 m

• R = 7.8 m

• R = 13.9 m

Pepe walks 10m east and then walks 12m North to sharpen his pencil. What is the direction of the resultant.

• 39.8^o CCW from East

• 140.2^o CCW from East

• 50.2^o CCW from East

• 129.8^o CCW from East

Brian runs 12 km West and then Runs 9 Km South to get to the store. What is the magnitude of the resulting displacement?

• R = 8 km

• R = 17 km

• R = 15 km

• R = 14 km

Brian runs 12 km West and then Runs 9 Km South to get to the store. What is the direction of the resultant?

• 36.9^o CCW from East

• 126.9^o CCW from East

• 216.9^o CCW form East

• 53.1^o CCW from East

Hanna walks 7m east and 12m south to give Jerry his phone. What is the magnitude of the resulting displacement?

• R = 9.5 m

• R = 13.9 m

• R = 15.1 m

• R = 19 m

Hanna walks 7m east and 12m south to give Jerry his phone. What is the direction of the resulting displacement?

• 30.3^o CCW from East

• 329.7^o CCW from East

• 59.7^o CCW from East

• 300.3^o CCW from East