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Finding Magnitude of a Vector
Finding a Unit Vector
Vector operations
Application Problems
Finding Direction Angle of a Vector
100
Find the magnitude of the vector PQ where p = (-3,4) and Q = (-5,2)
2√2
100
find a unit vector in the direction of v= <-3,2>
<-3/√13,2/√13>
100
Let u= <-1,3> and v= <4,7>, find u+v
<3,10>
100

A ship is heading due north at 12 mph and then turns and head 4 mph due west. What is the resultant vector?

<-4, 12>

100
Find the direction angle of the vector u = <3,2>
33.69 degrees
200
Find the magnitude of the vector PQ where P = (-2,2), and Q = (3,4)
√29
200
find unit vector in the direction of u= <-2, 4>
-1/√5i + 2/√5j
200
Let u= <-1,3> and v= <4,7>, find 3u
<-3,9>
200

An airplane is flying 25 mph east and then turns and flies 34 mph south. What is the displacement of the resultant vector? Round to the tenths place

42.2 mph

200
What is the direction angle of the vector <-2,-5>
348.2 degrees
300
Find the magnitude of the vector QR where Q = (3,4) and R = (-2,5)
√26
300
Find the unit vector in the direction of w = -i- 2j
-1/√5i - 2/√5j
300
Let u= <-1,3> and v= <4,7>, find 2u+ (-1)v
<-6,-1>
300

An airplane's resultant vector is represented by <-90, 78>. Find the direction of the airplane. Round to the nearest degree. 

41 degrees

300
Find the direction angle of the vector <3, 4>
53.1 degrees
400
Find the magnitude of the vector <3,4>
5
400
Find the unit vector in component form of u = <2,1>
<2/√5, 1/√5>
400
Let u= <-1,3>, v=<2,4>, and w = <2,-5> Find 2u + 3w
<4,-9>
400

You are pulling a wagon up a ramp with a force of 22 newtons. The angle between the ramp and the ground is 34 degrees. What is the horizontal component? Round to the tenths place. 

18.2 newtons

400
What is the direction angle of a vector of 3i - 4j
306.87 degrees
500
Find the magnitude of vector 7(cos 135i + sin 135j)
7
500
Find unit vector in component form in the direction of u = <-4,-5>
<-4/√41, -5/√41>
500
Let u= <-1,3>, v=<2,4>, and w = <2,-5> Find -2u - 3v
<-4,-18>
500

You are pulling a wagon up a ramp with a force of 22 newtons. The angle between the ramp and the ground is 34 degrees. What is the vertical component? Round to the tenths place.

12.3 newtons

500
Find the direction angle of the vector of 7(cos 135i + sin135j)
135 degrees