Resultant Vector Direction Formula. The discussion on direction angles of vectors focuses on finding the angle of a vector with respect to the positive x-axis. Magnitude of displacement by graphical method is shown below.
The head to tail method to calculate a resultant which involves lining up the head of the one vector with the tail of the other. To determine the direction of the resultant vector let ΙΈ be the angle between the resultant vector R and P. There are a two different ways to calculate the resultant vector.
The quantities that have both magnitude and direction are called vectors.
Find magnitude of the resultant force using the new vector equation and the distance formula. From triangle OBC tanphi fracBCOCfracBCOAAC tanphi fracQsinTheta PQcosTheta therefore phi tan-1fracQsinTheta PQcosTheta Above equation in the direction of the resultant vector. Use the formula thtan-1 ba where th is the angle that the resultant makes with the x-axis or the horizontal b is the magnitude of the y component and a is the magnitude of the x component. Resultant of two vectors at an angle resultant vector angle formula resultant vector equation.