Relative to the starting point, the coordinates of the end point are (10-7, 5) or (3, 5)
So the magnitude of the resultant vector is sqrt(32 + 52) = sqrt(9 + 25) = sqrt(34) = approx 5.83 km.
The bearing (measured from North) is arctan(3/5) = arctan(0.6) = 031 degrees.
The resultant velocity of a plane is 75 km/hr.
If the airspeed is maintained at 200 km/hour with a 50 km/hour tailwind, then the speed over ground will be 250 km/hour (resultant velocity).
zero, in any direction
If two vectors with equal magnitudes 'M' have perpendicular directions, then the resultant ismidway between them ... 45 degrees from each ... and the magnitude of the resultant isM sqrt(2).84 km/hr North + 84 km/hr East = 84 sqrt(2) = 118.794 km/hr Northeast (rounded).
4*sin(10) = 0.6945927107 or about 0.7 km
A = 230kmB = 340kmR = ?First, find the horizontal and vertical components of A& B.Ay = 0kmAx= 230kmNote: The angle, theta, is 45°, since NE is 45° from horizontal.By = 340km * sin(45°) = 240.42kmBx = 340km * cos(45°) = 240.42kmNow, add the respective components to get the Rcomponents.Ry = Ay + By = 0km + 240.42km = 240.42kmRx = Ax + Bx = 230km + 240.42km = 470.42kmFinally, use the Pythagorean theorem to get R.R = sqrt(Rx2 + Ry2) = 528.29kmTherefore, the resultant vector, R, is 528.29km.
a hiker walks 15 mi due east, then heads due north for 8 km. what is the direction of the resultant vector?
100 km and 75 km are displacements, NOT velocities. The resultant displacement is 25 km north,
The resultant velocity of a plane is 75 km/hr.
The resultant velocity of a plane is 125 km/hr.
km/s can be either a vector or a scalar quantity. It is a unit of speed, which is scalar, but if this speed is in a specific direction, thereby becoming velocity, it is vector.
If the airspeed is maintained at 200 km/hour with a 50 km/hour tailwind, then the speed over ground will be 250 km/hour (resultant velocity).
The resultant velocity of a boat is 17 km/hr and the direction of the boat is SW.
The resultant is 2 km South.
zero, in any direction
If two vectors with equal magnitudes 'M' have perpendicular directions, then the resultant ismidway between them ... 45 degrees from each ... and the magnitude of the resultant isM sqrt(2).84 km/hr North + 84 km/hr East = 84 sqrt(2) = 118.794 km/hr Northeast (rounded).
4*sin(10) = 0.6945927107 or about 0.7 km