Resultant Vector With Direction Calculator. For example if theres a force of 10 Newtons acting in the positive x direction and a force of 5 newtons acting in the -x direction the results for is 10 -5 5 newtons in the positive x direction. By convention we assign three unit vectors i j and k in the directions x y and z respectively.
A vector pointing straight up has an angle of 90 degrees. The following equation is used to calculate the resultant force acting on an object. Resultant Force F 1 cosA F 2 cosB 2 F 1 sinA F 2 sinB 2 R tan-1 F 1 sinA F 2 sinB F 1 cosA F 2 cosB Where F 1 First Force F 2 Second Force A Direction Angle of First force B Direction Angle of Second Force R Direction Angle of Resultant Force.
Where x is the magnitude of vector x and y is the magnitude of vector y.
Any vector can be written as where is a unit vector in the same direction as r. Or X and Y. Learn about Vectors and Dot Products. Vector in general is the graphical representation of the magnitude and direction of any physical entity like force acceleration or displacement.