Vector Review

Two vectors are considered equal as long as they have the same magnitude.

• True
• False

Tags

CCSS.HSN.VM.A.1

Find the direction angle 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

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

Find the component form 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

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

• -74.054^o

• 105.945^o

• -15.945^o

• 164.055^o

Tags

CCSS.HSN.VM.A.1

True or false.  -u has the same magnitude as u but travels in the exact opposite direction.

• True
• False

Tags

CCSS.HSN.VM.A.1

If a vector has an initial point at (8, 17) and has components < -5, 10>, what are the coordinates of the terminal point?

• (3, 7)
• (13, 27)
• (13, 7)
• (3, 27)

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.11

CCSS.HSN.VM.C.10

Find the unit vector in the direction of <4, -3>

• <⅘, -⅗>
• <0.57, -0.43>
• <1, -1>
• -¾

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.11