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Finding Magnitude of a Vector
Finding a Unit Vector
Vector operations
Miscellaneous
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

Find the angle between the vectors u and v, given u = 5i-2j and v = i+6j. Round to the nearest whole degree

102 degrees

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 on a bearing of 335 degrees at 530 mph. Find component form of the velocity of the airplane.
<-223.99, 480.34>
200

What is the direction angle of the vector <-2,-5>

248.2 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 is flying on a bearing of 340 degrees at 325 mph A wind is blowing with the bearing 320 degrees at 40 mph. Find component form of the velocity of the airplane.
<-111.16,305.40>
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
A basketball is shot at a 70 degree angle with the horizontal direction with an initial speed of 10 m/s. Find the component form of the initial velocity.
<3.42,9.40>
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

Find the component form of a vector with a magnitude of 4 in the direction of <3,-8> 

<12/sqrt73, -32/sqrt73>

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