Vectors

Find the dot product of the given vectors:

• 92
• 0
• -92
• none of the above

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

CCSS.HSN.VM.A.3

 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

Given an initial point R ( -12, 4 ) and terminal point S ( 28, -17 ), find the component form of the vector RS.

• 〈14,-13〉
• 〈-14,13〉
• 〈-40,-21〉
• 〈40,-21〉

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 the vector <-5, 12>

• 13
• 10.91
• 7
• 17

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

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

• 90°
• 45°
• 53.13°
• 106.26°

What type of quantity is produced by the dot product of two vectors?

• scalar
• vector

Find the dot product if ||v||= 8, ||w||=6 and the angle between them is θ = 240˚

• -24

• 24

• 48

• -48