Sec. 6.3 Review

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

• √11
• 13
• √-4
• √13

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

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

Find the unit vector in the same direction as v.

• <0.385, 0.923>
• <-0.832, 0.555>
• <5/13, 12/13>
• <-5/13, -12/13>

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

• <21, 2>
• <-11, 26>
• <8, 3>
• 23

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

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

Find the unit vector in the direction of <4, -3>

• <⅘, -⅗>
• <0.57, -0.43>
• <1, -1>
• -¾

Determine the direction and magnitude of the vector 〈7,18〉

• Direction 21.3°
  Magnitude 19.3
• Direction 68.7°
  Magnitude 19.3
• Direction 21.3°
  Magnitude 373
• Direction 68.7°
  Magnitude 373

What is the magnitude and direction of vector u?

• $13,\ 247.38\degree$

• $13,\ 67.38\degree$
  

• $\sqrt{208},\ 56.31\degree$
  

• $\sqrt{208},\ 236.31\degree$

Which of the following is the component form for a vector with initial point (-1, 5) and terminal point (6, 8)?

• <-3, -7>

• <3, -7>

• <-3, 7>

• <7, 3>

Which are equivalent vectors?

• u and -u

• u and a

• u and v

• u and b