Magnitude of a Vector

3u-4v

• <5, -4>
• <2,56>
• <-3,32>
• <11,-4>

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

CCSS.HSN.VM.B.4

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.10

CCSS.HSN.VM.C.11

|u|, the magnitude of u. Round to three decimal places, if necessary.

• 13
• 8.944
• 8
• 14.422

Tags

CCSS.HSN.VM.A.1

|v|, the magnitude of v. Round to three decimals, if necessary.

• 8
• 13
• 14.422
• 8.944

Tags

CCSS.HSN.VM.A.1

If you have the points A(-4,7) and B(-10,23), find the vector AB.

• <-6,16>
• <16,-6>
• <-14,30>
• <30,-14>

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

CCSS.HSN.VM.B.4

the magnitude (or length) of u. If necessary, leave as a square root.

• √63
• 3
• √65
• 9

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

Find the unit vector in the same direction as v.

• <0.385, 0.923>
• <-0.832, 0.555>
• <5/13, 12/13>
• <-5/13, -12/13>

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.B.5

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

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

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

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

Find the magnitude of the vector <-2, 1>.

• 5
• 2.236
• 1
• 2.646

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.3

Find the magnitude of the vector <-4, -6>.

• 7.211
• 52
• 3.162
• 4.472