Vectors Day 2

Determine the magnitude and directional angle of: $<-5,\ 8>$ 

•  $magnitude=\sqrt{89}$  
  

   $\theta=238\degree$  
  

•  $magnitude\ =4.95$  
  

   $\theta=70\degree$  
  

•  $magnitude=89$  
  

   $\theta=58\degree$  
  

•  $magnitude\ =\ \sqrt{89}$  
  

   $\theta=122\degree$  
  

Determine the magnitude and directional angle: $<14,\ 18>$  

•  $magnitude=\sqrt{130}$  
  

   $\theta=18\degree$  
  

•  $magnitude\ =\ 14$  
  

   $\theta=18\degree$  
  

•  $magnitude\ =\ 2\sqrt{130}$  
  

   $\theta=52\degree$  
  

•  $magnitude=520$  
  

   $\theta=52\degree$  
  

Determine the magnitude and directional angle: $<-9,\ -2>$  

•  $magnitude=85$  
  

   $\theta=193\degree$  
  

•  $magnitude=\sqrt{85}$  
  

   $\theta=193\degree$  
  

•  $magnitude\ =\ -9$  
  

   $\theta=-2$  
  

•  $magnitude=\sqrt{85}$  
  

   $\theta=13\degree$  
  

Determine the magnitude and directional angle of $\overrightarrow{AB}$ 
 $A\ \left(5,\ 9\right),\ \ B\ \left(2,\ 13\right)$   

•  $magnitude=5$  
  

   $\theta=127\degree$  
  

•  $magnitude=\sqrt{106}$  
  

   $\theta=61\degree$  
  

•  $magnitude=\sqrt{173}$  
  

   $\theta=81\degree$  
  

•  $magnitude=2\sqrt{137}$  
  

   $\theta=70\degree$  
  

Determine the magnitude and direction of $\overrightarrow{XY}$  
 $X\ \left(3,\ 7\right),\ \ Y\ \left(8,\ 10\right)$  

•  $magnitude=\sqrt{410}$  
  

   $\theta=57\degree$  
  

•  $magnitude=2\sqrt{41}$  
  

   $\theta=51\degree$  
  

•  $magnitude=\sqrt{58}$  
  

   $\theta=67\degree$  
  

•  $magnitude\ =\ \sqrt{34}$  
  

   $\theta=31\degree$  
  

How will the scalar $-4$  affect a vector?

• increase the magnitude/opposite direction

• increase the magnitude/same direction
  

• decrease the magnitude/opposite direction
  

• decrease the magnitude/same direction
  

How will the scalar $-\frac{1}{6}$  affect a vector?

• increase the magnitude/opposite direction

• increase the magnitude/same direction
  

• decrease the magnitude/opposite direction
  

• decrease the magnitude/same direction
  

How will the scalar $\frac{9}{2}$  affect a vector?

• increase the magnitude/opposite direction

• increase the magnitude/same direction
  

• decrease the magnitude/opposite direction
  

• decrease the magnitude/same direction
  

How will the scalar $0.73$  affect a vector?

• increase the magnitude/opposite direction

• increase the magnitude/same direction
  

• decrease the magnitude/opposite direction
  

• decrease the magnitude/same direction
  

How will the scalar $-\frac{7}{6}$  affect a vector?

• increase the magnitude/opposite direction

• increase the magnitude/same direction
  

• decrease the magnitude/opposite direction
  

• decrease the magnitude/same direction