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

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

• 5 km 
• 8 km
• 11 km
• 15 km

Tags

CCSS.HSN-VM.B.4C

In practice B of the figure, which displacement is the horizontal component?

• 30 km, East
• 30 km, West
• 40 km, North
• 40 km, South

Tags

CCSS.HSN-VM.B.4C

Find the component form of a vector whose initial point is (5, 7) and terminal point is (1, 10)

• <-4, 3>
• <4, -3>
• 5
• <6, 17>

Find the component form of a vector whose terminal point is (15, 9) and initial point is (1, 5)

• <14, 4>
• <-14, -4>
• 2√53
• <16, 14>

Tags

CCSS.HSN.VM.A.2

Find the component form of a vector whose magnitude is 10 and direction is 150°.

• <10, 150>
• <-8.66, 5>
• <6.99 , -7.14>
• 10i + 150j

Given u = <3, 7> and v =<-5, 4>, find 2u - 3v

• <21, 2>
• <-11, 26>
• <8, 3>
• 23

Tags

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.10

CCSS.HSN.VM.C.11

Find the magnitude of the vector <-5, 12>

• 13
• 10.91
• 7
• 17

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

A unit vector is a vector that is _____________the given vector and has _____________.

• parallel to, magnitude of 1
• equal to, the same direction
• opposite, the same size
• smaller than, the same direction

Find the magnitude of the resultant for the Force vectors given:
F₁ : magnitude = 60 lbs, θ = 80°
F₂ : magnitude = 80 lbs, θ = 20°

• 121.66 lbs
• <85.6, 86.5>
• 45.3°
• 140 lbs

Tags

CCSS.HSN.VM.A.3