Vectors Assessment

Find  $u+v$  given  $u=<-10,-4>$  ,  $v=<-3,8>$  

• < -14, 4>

• < - 7, - 14>

• < 7, 4>

• < -13, 4>

 $v=<6,8>$  Find the magnitude of vector v.

• 14

• 100

• 10

• $\sqrt{10}$

Tags

CCSS.HSN.VM.A.1

Which vector has the same direction as vector v.  $v=<-5,-12>$  

• $<-\frac{13}{5},-\frac{13}{12}>$

• $<-\frac{5}{13},-\frac{12}{13}>$

• $<\frac{12}{13},\frac{5}{13}>$

• $<65,156>$

Find the vector that has the given magnitude and direction angle.  $\parallel v\parallel=7,\ \theta=270\degree$  

• $<0,-7>$

• $<-7,0>$

• $<-7,-7>$

• $<7,7>$

Tags

CCSS.HSN.VM.A.1

 For the given vectors u and v, find the dot product  $u\cdot v$ 
 $u=<3.45,6.72>,\ v=<-2.15,5.60>$  

• 45.05

• 13.62

• 12.39

• 30.21

Write the vector with the initial point  $\left(-2,4\right)$ and terminal point  $\left(-3,5\right)$  in component form.

•  $<-1,-1>$  

•  $<1,1>$  

•  $<1,-1>$  

•  $<-1,1>$  

Tags

CCSS.HSN.VM.A.2

 Evaluate $\parallel<3,-7>\parallel$ 

•  $2\sqrt{10}$  

•  $2i\sqrt{10}$  

•  $\sqrt{58}$  

•  $2$  

Tags

CCSS.HSN.VM.A.1

Given vector $v=<-3,7>$  , find the direction angle, θ.

•  $113.20\degree$  

•  $246.80\degree$  

•  $66.80\degree$  

•  $293.20\degree$  

Tags

CCSS.HSN.VM.A.1

Given $u=<2,-5>,\ v=<-4,1>$  , find  $3u+2v$  .

•  $<-2,-4>$  

•  $<-6,-8>$  

•  $<-2,-13>$  

•  $<10,10>$  

Find the resultant of the vectors  $<10\cos25\degree,\ 10\sin25\degree>$  and  $<12\cos337\degree,\ 12\sin337\degree>$  .

•  $<4.37,\ 6.97>$  

•  $<20.11,\ -0.46>$  

•  $<20.11,\ 8.91>$  

•  $<7.52,\ -3.21>$  

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B