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. The current is flowing southwest at 4 mph. Find the actual bearing and speed of the ship.
342.86 degrees with a speed of 9.6 mph
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>
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 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
A ship heads due south with the current flowing northwest. Two hours later the ship is 20 miles in the direction 30 degrees west of south from the original starting point. Find the speed with no current of the ship and the rate of the current
13.66 mph
500
Find the direction angle of the vector of 7(cos 135i + sin135j)