Vector addition

A vector includes ______ and ________.

• direction, magnitude

• magnitude, units

• direction, units

• scalars, scalars

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 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

What is the magnitude of the resultant vector, r?

• 3

• 4

• 5

• 7

If vector A has an y component of 12 units and a x component of 7 units, which would allow you to solve for the MAGNITUDE of vector A?

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

A man drives 30 km south and 5 km east. What quadrant does the man wind up in?

• I

• II

• III

• IV

A girl gallops 9 m west and 80 m north. What quadrant will the girl end up in?

• I

• II

• III

• IV

The vector diagram above represents the horizontal component, F_H, and the vertical component, F_V, of a 24-newton force acting at 35⁰ above the horizontal. What are the magnitudes of the horizontal and vertical components?

• F_H = 20 N and F_V = 14 N

• F_H = 4.9 N and F_V = 3.5 N

• F_H = 3.5 N and F_V = 4.9 N

• F_H = 14 N and F_V = 20 N