Vectors Addition and Resultant Vectors

What is the resultant vector of the two labeled vectors?

• +2 km

• +14 km

• -2 km

• -14 km

What is the resultant of these two vectors?

• +17 m

• +3 m

• -17 m

• -3 m

If two vectors to be added are at right angles, you will need to....

• Multiply

• Divide

• Pythagorean Theorem

• Use trigonometry

Cameron (Cam for short) Per hikes to a campsite where he will spend the evening. He hikes 6.0 km, north and 3.0 km, west. The magnitude of Cam's displacement is ___km

• 3.0

• 4.5

• 6.7

• 45

Bob walks 2 miles north and turns west and walks 2 miles. What is Bob's general displacement?

• 4 miles northeast

• 4 miles northeast

• 3 miles northwest

• 3 miles southeast

A Frisbee that flies at a speed of 1.8 m/s north relative to the air encounters a tailwind that travels at 1.2 m/s. What are the speed and direction of the Frisbee relative to the ground?

• 0.60 m/s north

• 0.60 m/s at an 45 degrees north of east.

• 3.0 m/s north

• 0.60 m/s south

• 3.0 m/s south

A resultant vector is

• equal to the sum of one vector.

• equal to the sum of two or more vectors.

• equal to the difference of one vector.

Bob walks 4 miles west and stops to rest. He then continues to walk another 3 miles west. What is his displacement?

• 7 miles west

• 1 mile west

• 12 miles west

• 7 miles east

A Frisbee that flies at a speed of 1.8 m/s north relative to the air encounters a tailwind that travels at 1.2 m/s. What are the speed and direction of the Frisbee relative to the ground?

• 0.60 m/s north

• 0.60 m/s at an 45 degrees north of east.

• 3.0 m/s north

• 0.60 m/s south

• 3.0 m/s south

What is the resultant for the following example?

(Part of the work is done, but not all)

• 24.6 km at 27 degrees north of east

• 24.6 km at 63 degrees north of east

• 33 km at 27 degrees north of east

• 33 km at 63 degrees north of east