Vectors

Find the magnitude of the vector <2, -3>.

• √11
• 13
• √-4
• √13

Tags

CCSS.HSN.VM.A.1

Find the direction of the vector <-3, -5>.

• 59.03°
• 239.03°
• 210.96°
• 120.96°

Tags

CCSS.HSN.VM.A.1

Find the dot product of <1, -2> and <3, 2>.

• 1
• <3, -4>
• <4, 0>
• -1

Tags

CCSS.HSN.VM.A.1

Find the angle between vectors <1,3> and <2,-5>.

• 40.24°
• 49.76°
• 139.76°
• 92.57°

Tags

CCSS.HSN.VM.A.1

CCSS.HSF.TF.B.7

How do you know if two vectors are orthogonal?

• Their sum is 0.
• The dot product is 1.
• The angle between them is 0°.
• The dot product is 0.

Tags

CCSS.HSN.VM.A.1

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

the direction (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

Find the angle between u and v.

• 78.930^o
• 33.691^o
• 101.070^o
• 146.310^o

Tags

CCSS.HSN.VM.A.1

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.C.11

Given an initial point R ( -12, 4 ) and terminal point S ( 28, -17 ), find the component form of the vector RS.

• 〈14,-13〉
• 〈-14,13〉
• 〈-40,-21〉
• 〈40,-21〉

Tags

CCSS.HSN.VM.A.2

Given an initial point A ( 2, 4 ) and terminal point B ( -8, 7 ), find the component form of the vector AB.

• 〈-10,3〉
• 〈-6,3〉
• 〈10,11〉
• 〈-6,-3〉

Tags

CCSS.HSN.VM.A.2