# Finding Direction Of Resultant Vector

This post categorized under Vector and posted on September 12th, 2019.

In the picture on the left the black vector is the resultant of the two red vectors. To try to understand what a resultant is consider the following story. This physics vector tutorial focuses on the addition of vectors by means of components vectorytically. It explains how to find the magnitude and direction of the resultant force vector. However note that the angle must really be between 90 degrees and 180 degrees because the first vector component is negative and the second is positive. That means you should add 180 degrees to 45 degrees giving you 135 degrees (the tangent of 135 degrees is also 1.01.0 1.0).

Resultant Vector Calculation Formula Given below is the formula to calculate the magnitude and direction of the resultant vector. There are a two different ways to calculate the resultant vector the head to tail method and parallelogram method. Interestingly enough the order in which three vectors are added has no effect upon either the magnitude or the direction of the resultant. The resultant will still have the same magnitude and direction. For example consider the addition of the same three vectors in a different order. The resultant vector is (20 20). Thats one way of specifying a vector use its components. But this problem isnt asking for the results in terms of components. The question wants to know the angle and distance to the hotel.

Earlier in this lesson we learned that vectors oriented at right angles to one another can be added together using the Pythagorean theorem. For instance two displacement vectors with magnitude and direction of 11 km North and 11 km East can be added together to produce a resultant vector that is directed both north and east. The resultant vector of the jet pushed by the wind has a magnitude of 1036 mph and a direction of 43 degrees southwest. Lesson Summary In this lesson you learned that a resultant vector is a Find the direction of the vector P Q whose initial point P is at ( 2 3 ) and end point is at Q is at ( 5 8 ) . The coordinates of the initial point and the terminal point are given. Subsvectorute them in the formula tan y 2 y 1 x 2 x 1 .

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