PreCalculus - Vectors Unit Test

Write PQ as a linear combination of the vector PQ where P = (-2, 5) and Q = (1, -3)?

• -i + 2j

• 3i + 2j

• -i + 8j

• 3i - 8j

Find || PQ || where P = (0, -8) and Q = (-2, 4).

• √52

• √148

• √68

• √20

Tags

CCSS.HSN.VM.A.1

Find the direction angle for PQ where P = (-1, 2) and Q = (3, 4).

• 26.6°

• 45°

• 206.6°

• 225°

Tags

CCSS.HSN.VM.A.1

What does the first value in vector notation represent?

• The distance between the tail and the origin

• The movement in the x-direction

• The movement in the y-direction

• The magnitude of the quadrant

Tags

CCSS.HSN.VM.A.1

A vector is a mathematical structure that has both _______ and _______.

• direction, magnitude
• scope, sequence
• meat, potatoes
• scalar, vector

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

Write in component form.

• <0, 4>

• <8, 2>

• <2, 8>

• <0, 2>

Tags

CCSS.HSN.VM.A.2

Given u = <3, 7>, find 2u

• <21, 2>

• <6, 26>

• <6, 14>

• 23

Tags

CCSS.HSN-VM.B.5A

CCSS.HSN-VM.B.5B

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

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

Find the magnitude of the vector <10, -8>

• 2

• 12.81

• 6

• 18

Tags

CCSS.HSN.VM.A.1