Component Form, Magnitude, Direction Angle and Unit Vectors

Find the unit vector in the same direction as v.

• <0.385, 0.923>

• <-0.832, 0.555>

• <5/13, 12/13>

• <-5/13, -12/13>

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〉

Tags

CCSS.HSN.VM.A.2

Determine the direction and magnitude of the vector 〈-11,5〉

• Direction 24.4°
  Vertical 12.1

• Direction65.6°
  Magnitude 12.1

• Direction -24.4°
  Magnitude 12.1

• Direction 155.6°
  Magnitude 12.1

Tags

CCSS.HSN.VM.A.1

Find the magnitude of the vector <2, -3>.

• √11

• 13

• √-4

• √13

Tags

CCSS.HSN.VM.A.1

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

• 〈-10 , 3〉

• 〈-6 , 3〉

• 〈10 , -3〉

• 〈-6 , 11〉

Tags

CCSS.HSN.VM.A.2

The picture shows the flight vector for a helicopter. What is the magnitude and direction of the vector?

• 38.6 mi; 31.2^o east of north

• 26.2 mi; 31.2^o north of east

• 38.6 mi; 31.2^o north of east

• 26.2 mi; 58.8^o north of east

Determine the component form of a vector with a magnitude of

10 and a direction of 315 degrees

<​ (a)   , ​ (b)   >

Tags

CCSS.HSN.VM.A.2

What does the second value in vector notation represent?

• The distance between the tail and the origin

• The movement in the x-direction

• The movement in the y-direction

• The magnitude of the quadrant

Tags

CCSS.HSN.VM.A.1

Calculate the horizontal component of the velocity

• 69 m/s

• 20 m/s

• 35 m/s

• 23 m/s

Tags

CCSS.HSN.VM.A.3

Find the direction of the vector <-3, -5>.

• 59.03°

• 239.03°

• 210.96°

• 120.96°

Tags

CCSS.HSN.VM.A.1