Precalculus Application of Vectors

Which are equivalent vectors?

• u and -u

• u and a

• u and v

• u and b

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

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

How should you add two vectors? Select all that apply

• Add them head to tail

• Add them tail to tail

• don't why bother

• Use the parallelogram method

• Add them head to head

When adding vectors graphically, the magnitude of the resultant vector is represented

• the length of the vector drawn

• the arrow head of the vector drawn

• both of the above

• none of the above

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〉

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 u = <3, 7>, find 2u

• <21, 2>

• <6, 26>

• <6, 14>

• 23

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

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

Which statement describes a vector?

• It has magnitude but no direction

• It has direction but no magnitude

• It has both direction and magnitude

• is it me, or are these all the same?