Vectors: Component Form & Magnitude

Given an initial point R ( -12, 4 ) and terminal point S ( 28, -17 ), find the component form of the vector RS. Hint: get it into the pointy brackets.

• 〈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

Write in component form.

• <0, 4>

• <-8, -2>

• <2, 8>

• <0, 2>

Tags

CCSS.HSN.VM.A.2

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

• 2

• 12.81

• 6

• 18

Tags

CCSS.HSN.VM.A.1

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

• √11
• 13
• √-4
• √13

Tags

CCSS.HSN.VM.A.1

A hiker walks 5 kilometers due north and then 7 kilometers due east. What is the magnitude of the resultant vector?

• 2 km
• 8.6 km
• 12 km
• 12.6 km

Tags

CCSS.HSN.VM.A.3

Find the magnitude of vector 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

Find the magnitude of the vector

with initial point (-8, 7) and

terminal point (2, -5).

Round to the nearest tenth.

Tags

CCSS.HSN.VM.A.1