Vectors worksheets

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

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

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

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

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

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

 Evaluate $\parallel<3,-7>\parallel$ 

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

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

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

Find the magnitude of the resultant of these two vectors: $\left(4i+3j\right)$  and  $\left(2i-7j\right)$ . 

Which of these represents the vector with a magnitude of 6 and direction angle of 38^o?

Which of the following is the component form of  $\overrightarrow{AB}$  with initial point $A\left(-5,3\right)$  and terminal point  $B\left(2,-1\right)$  .

Given $B=<7,-3>$   $U=<-3,3>$   $C=<0,-5>$  , solve:

 ___________- B = U. 

Given $B=<7,-3>$   $U=<-3,3>$   $C=<0,-5>$  , find the direction angle of vector C. 

Graph  $R=2B-C\$  using the vectors above. 

An airplane traveling directly northwest has airspeed of 450 kilometers per hour. The wind velocity is 40 kilometers per hour in the direction S 30^o W. Find the resulting speed of the plane.

An airplane traveling directly northwest has airspeed of 450 kilometers per hour. The wind velocity is 40 kilometers per hour in the direction S 30^o W. What is the direction angle?

If a plane is flying with a direction angle of 289.12^o, what is its bearing?

Two ships leave port at 4 pm. One is heading at a bearing of N 38^o E and is traveling at 11.5 miles per hour. The other is traveling 13 miles per hour at a bearing of S 47^o E. How far apart are they when dinner is served at 6 pm?