Vector Review

A vector is a ray with both ____________ and _____________.

• Wings and halos

• Space and time

• Direction and magnitude

• Radicals and exponents

Tags

CCSS.HSN.VM.A.1

Component Form

• <-3, -7>

• <3, -7>

• <-3, 7>

• <7, 3>

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

Given the magnitude & direction of the resultant, find the horizontal & vertical components. Direction: 287° Magnitude: 422mph

• Horizontal -403.6
   Vertical 123.4
• Horizontal 123.4
  Vertical -403.6
• Horizontal 123.4
  Vertical 403.6
• Horizontal -123.4 
  Vertical -403.6

Given the magnitude & direction of the resultant, find the horizontal & vertical components.

• Horizontal 63.9
   Vertical 44.7
• Horizontal 7.3
   Vertical 34.2
• Horizontal -63.9
   Vertical 44.7
• Horizontal -7.3
   Vertical 34.2

Tags

CCSS.HSN.VM.A.3

Find the angle between the two vectors <3, 4> and <4, -3>

• 90°
• 45°
• 53.13°
• 106.26°

What is the angle between the vectors given

• 27.670^o

• 62.330^o

• 152.330^o

• The answer is not here

How do you know if two vectors are orthogonal?

• Their sum is 0.
• The dot product is 1.
• The angle between them is 0°.
• The dot product is 0.

Tags

CCSS.HSN.VM.A.1

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

Determine the direction and magnitude of the vector 〈7,18〉

• Direction 21.3°
  Magnitude 19.3
• Direction 68.7°
  Magnitude 19.3
• Direction 21.3°
  Magnitude 373
• Direction 68.7°
  Magnitude 373

An airplane flying due south (270°)  485 mph against a 25 mph wind blowing due west(180°). Determine the new speed and direction of the plane.

• Direction 267.0°
  Magnitude 485.6mph
• Direction 93.0°
  Magnitude 485.6mph
• Direction 237.0°
  Magnitude 485.6mph
• Direction 87.0°
  Magnitude 510.0mph