Vectors

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

Tags

CCSS.HSN.VM.A.1

Magnitude

• Square root of 15

• Square root of 8

• 4

• 0

Tags

CCSS.HSN.VM.A.1

Component Form

• <-3, -7>

• <3, -7>

• <-3, 7>

• <7, 3>

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

Determine the direction of <8, -2>

• 346 degrees

• 14 degrees

• 166 degrees

• 194 degrees

Tags

CCSS.HSN.VM.A.1

Which are equivalent vectors?

• u and -u

• u and a

• u and v

• u and b

Tags

CCSS.HSN.VM.A.1

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 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 components of a vector v such that 
v + 〈-6,4〉 = 〈10,-3〉

• 〈4,1〉
• 〈16,4〉
• 〈16,-7〉
• none of these

Tags

CCSS.HSN.VM.A.2

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

• 40.24°
• 49.76°
• 139.76°
• 92.57°

Tags

CCSS.HSF.TF.B.7

CCSS.HSN.VM.A.1

If the dot product of two vectors are equal to zero, then what do we know about the two vectors?

• They are parallel.
• They are orthogonal.
• They are neither.