Quiz review ( Vector)

Multiple Choice

What is the xy-component form of the two-dimensional vector that has magnitude 52 in direction 218 degrees?

• <-41,-32>

• <-17,-49>

• <-32,-41>

• <-49,-17>

Multiple Choice

What is the angle of the vector $$\overrightarrow{v}=<106,-238>$$ ?

• 314

• 246

• 336

• 294

Multiple Choice

An airplane is traveling at 230 mph on a bearing of S 75 W. Wind is blowing at 85 mph on a bearing of S 40 E. What is the ground speed and actual bearing of the plane?

• $$132.2\ mph,\ 43.5\degree$$

• $$208.8\ mph\ ,\ 36.6\degree$$

• $$202.6\ mph\ ,\ 45.8\degree$$

• $$316.1\ mph\ ,\ 34.4\degree$$

Multiple Choice

Calculate the magnitude of the vector: $$\overrightarrow{u}=<-45,28>$$ .

• 35

• 48

• 53

• 17

Multiple Choice

Has magnitude and direction

• Scalar

• Vector

• Initial Point

• Terminal Point

Multiple Choice

Two vectors that have the same magnitude and direction

• Parallel vectors

• Equivalent vectors

• Opposite vectors

Multiple Choice

Two vectors that have the same magnitude but opposite direction

• Parallel vectors

• Equivalent vectors

• Opposite vectors

Multiple Choice

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

Multiple Choice

Find the magnitude of AB if the initial point is (-3, 1) and the terminal point is (3, 9).

• 6

• 8.2

• 10

• 10.4

Multiple Choice

What is the x component of the vector?

• 14cos(30)

• 14sin(30)

• -14cos(30)

• -14sin(30)

Multiple Choice

Given an initial point A ( 2, 4 ) and terminal point B ( -8, 7 ), find the component form of the vector AB.

• 〈-10,3〉

• 〈-6,3〉

• 〈10,11〉

• 〈-6,-3〉

Multiple Choice

Write in component form.

• <0, 4>

• <8, 2>

• <2, 8>

• <0, 2>