Vectors: Component Form and Magnitude

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

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

What is the magnitude of a vector?

• The distance of a vector

• The angle of the vector

• The length of the vector

• none of the above

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〉

Write in component form.

• <0, 4>

• <8, 2>

• <2, 8>

• <0, 2>

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〉

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

• √11
• 13
• √-4
• √13

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

• 2

• 12.81

• 6

• 18

Find the magnitude of the vector <-7, 4>.

What is the component form for the given vector? (NO SPACES)

What is the component form for the given vector? (NO SPACES)