Precal Vectors Practice Exam

Vector is a quantity with:

• magnitude and direction

• magnitude

• direction

• none of the above

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

• 2
• 12.81
• 6
• 18

Find the direction of the vector <-3, -5>.

• 59.03°
• 239.03°
• 210.96°
• 120.96°

If c=<-5, 4> and d=<8, 0>, calculate 2c+d

• <-2, 8>
• <-2, 0>
• <6, 8>
• <6, 0>

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

• <21, 2>
• <-11, 26>
• <8, 3>
• 23

Mrs. Griffiths walks 6 miles with a direction angle of

32°. What is the 'y-coordinate' of the component form? Round your answer to three places after the decimal.

What is the magnitude (r) for the following vector?

Write in component form.

• <0, 4>

• <8, 2>

• <2, 8>

• <0, 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〉