Vector Basics

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

Is this a scalar quantity or a vector quantity?
Wind blowing at 20 knots

• Scalar
• Vector

Tags

CCSS.HSN.VM.A.1

Is this a scalar quantity or a vector quantity?
A deer running 15 meters per second due west

• Scalar
• Vector

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

• <21, 2>
• <-19, -13>
• <-15, 3>
• 23

Tags

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.11

CCSS.HSN.VM.B.4

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

Find the magnitude of AB if the initial point is (-3, 1) and the terminal point is (3, 9)

• 6
• 8.2
• 10
• 10.4

Find the direction of vector <0, 4>.

• 180⁰
• 90⁰
• 270⁰
• 0⁰

Tags

CCSS.HSN.VM.A.1

Find the direction of vector <6,5>.

• 219⁰
• 39⁰
• 129⁰
• 309⁰

Tags

CCSS.HSN.VM.A.1

Find the component form of AB with initial point A(1, -3) and terminal point B(1, 3)

• <2, 0>
• <0, 6>
• 2i
• 6j

Tags

CCSS.HSN.VM.A.2

Find the component form of AB with initial point A(0, 8) and terminal point B(-9, -3)

• -9i + 5j
• -9i - 11j
• <-9, -11>
• <-9, 5>