Adding and Subtracting Vectors

The vector v has magnitude 8 and direction angle 90°. The vector w has magnitude 2 and direction angle 0°.

Find the magnitude and direction angle θ of the sum v+w.

Round your answers to the nearest thousandth.

• 9.103

  47.632 degrees

• 6.120

  45 degrees

• 8.367

  77.912 degrees

• 8.246

  76.964 degrees

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Which of the vectors, P, Q, R, S, or T, shown in the diagram is equal to A +B?

• P

• Q

• R

• S

• T

Two forces on an object are in the same direction. How do we calculate the resultant force?

• take away one from the other

• multiply them

• divide one by the other

• add them together

When adding two vectors graphically, a+b=c. Does b+a produce the same resultant vector c?

• Yes, two vectors added together always produce the same resultant vector

• No, because order matters

• Yes, but c will be pointing in the opposite direction

• No, because you can't add two vectors

A car moved 60 km East and 90 km West. What is the displacement and the direction?

• 30 km, West

• 60 km. East

• 90 km

• 150 km

What is the sum of two vectors referred to as?

• Product

• Resultant

• Effect

• Outcome

What is the resultant of the two vectors shown above?

• +5

• -5

• +15

• -15

If a car moves 12 km North, 19 km East, and 12 km South, what is its displacement?

• 12 km

• 19 km, East

• 31 km

• 43 km, East

A car travels 90 meters due north. Then the car turns around and travels 40 meters due south. What is the magnitude and direction of the car's resultant displacement?

• 40 meters, South

• 50 meters, South

• 50 meters, North

• 40 meters, North