Vector Addition

A vector includes ______ and ________.

• direction, magnitude

• magnitude, units

• direction, units

• scalars, scalars

Find the measure of the indicated angle (?) round to the nearest tenth.

• 9.4
• 55.2
• 20.15
• 19.4

Cam Per hikes to a campsite where he will spend the evening. He hikes 6 km, north and 3 km, west. The magnitude of Cam's displacement is ___km

• 3.0

• 4.5

• 6.7

• 45

What is the magnitude of the resultant vector, r?

• 3

• 4

• 5

• 7

Which of the following describes the vector above?

• 45 cm

• 45 cm at 30 degrees North of East

• 45 cm at 30 degrees East of North

• 45 cm North East

Describe the direction of the vector above.

• 30 degrees

• 30 degrees North East

• 30 degrees North of East

• 30 degrees East of North

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?

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 DIRECTION 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

An airplane flies due north at 150 km/h with respect to the air. There is a wind blowing at 75 km/h due east. What are the plane's speed with respect to the ground?

• 167.7 km/h at 26.6 degrees north of east

• 225 km/h at 26.6 degrees east of north

• 167.7 km/h at 63.4 degrees north of east

• 129.9 km/h at 63.4 degrees north of east

• 129.9 km/h at 26.6 degrees east of north