Vector Operations

If c=<-5, 4> and d=<8, 0>, calculate 2c+d

• <-2, 8>
• <-2, 0>
• <6, 8>
• <6, 0>

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.B.4

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.10

CCSS.HSN.VM.C.11

If v =〈a,b〉, then a is the ___________ component of v.

• vertical
• horizontal
• parallel
• slope

Tags

CCSS.HSN.VM.A.2

If w = <2, -5> and y = <2, 0>, find 2w + y.

• <-10, 2>
• <4, -5>
• <-6, 10>
• <6, -10>

Tags

CCSS.HSN.VM.B.4

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.10

CCSS.HSN.VM.C.11

If y = <2, 0> and
z = <-1, -4>, find 3y - 2z.

• <5, -8>
• <4, 8>
• <8, 8>
• <-8, -8>

Tags

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.10

CCSS.HSN.VM.C.11

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

u + v

• 4i - j

• 6i + j

• 3j + 4j

• i + 6j

Tags

CCSS.HSN-VM.B.4B

CCSS.HSN-VM.B.4A

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

George Washington throws a baseball with an initial velocity of 20.2 feet per second at an angle of 69° with the horizontal.  Find the initial vertical and horizontal velocity of the ball.

• Horizontal 18.9
   Vertical 7.2
• Horizontal 7.2
   Vertical 18.9
• Horizontal 15.2
   Vertical 9.6
• Horizontal 9.6
   Vertical 15.2

Tags

CCSS.HSN.VM.A.3

If a turtle moves from coordinate
 P = (3,2) to
Q = (5,6).  Which vector models the turtle's motion?

• 〈-2,-4〉
• 〈2,4〉
• 〈8,8〉
• none of these

Tags

CCSS.HSN-VM.B.4C

Given v = 〈3,-5〉 and w = 〈-2,3〉, what is v + w?

• 〈6,-10〉
• 〈1,-2〉
• 〈0,-1〉
• none of these

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B