Vectors

Which statement describes a vector?

• It has magnitude but no direction
• It has direction but no magnitude
• It has both direction and magnitude
• It has constant magnitude but no
   direction

Tags

CCSS.HSN.VM.A.1

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

• 6
• 8.2
• 10
• 10.4

Tags

CCSS.HSN.VM.A.1

FInd the direction angle (θ) for vector v. Round to three decimals.

• -74.054^o
• 105.945^o
• -15.945^o
• 164.055^o

Find the component form of vector AB with initial point A(0, 8) and terminal point B(-9, -3)

• <-9, 5>
• <-9, 11>
• <-9, -11>
• <-9, 5>

Tags

CCSS.HSN.VM.A.2

Find the component form of the vector. Round to three decimals.

• <16.116, 7.798>
• <16.298, 7.335>
• <16.892, 7.530>
• <16.314, 7.607>

Tags

CCSS.HSN.VM.A.2

If w = <2, -5> and y = <2, 0>, find 2w + y

• <-10, 2>

• <4, -5>

• <-6, 10>

• <6, -10>

If R = (-2, 5) and S = (2, -8).  Find the component form and magnitude of 4 times the resultant vector RS.

• <-15, 0> : 15
• <16, 52> : 54.4
• <-16, -52> : 42.5
• <16, -52> : 54.4

In practice A of the figure, What is  the magnitude of the  resultant displacement?

• 5 km 
• 8 km
• 11 km
• 15 km

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

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

An airplane traveling north at 220 meters per second encounters a 50.0-meters-per-second crosswind from west to east. 

• 170 m/s
• 214 m/s
• 226 m/s
• 270 m/s