Question

explain the resolution of vector and find the formula for resultant vecto​

Answer 1

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The resultant is the vector sum of two or more vectors. It is the result of adding two or more vectors together. If displacement vectors A, B, and C are added together, the result will be vector R. As shown in the diagram, vector R can be determined by the use of an accurately drawn, scaled, vector addition diagram.

Answer 2

Answer:    Refer to attachment.

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Explanation:

Resolution of a vector in two Dimensions The resolution of a vector into two mutually perpendicular vectors is called the rectangular resolution of vector in a plane or two dimensions. Consider that a vector  has to be resolved into two component vector along the direction of two mutually perpendicular directions of X-axis and Y-axis. Let  and  be the unit vectors along X-axis and Y-axis respectively figure. From point P, drop PM and PN perpendicular to X-axis and Y-axis respectively. From the parallelogram law of vector addition, it follows that The equation (i) describes vector,  into the component vector Ax  and Ay . In practice Ax  and Ay  are called respectively x-component and y-component of vectors . Further Ax and Ay are called magnitude of the two-component vectors. If A is the magnitude of the vector  and θ is its inclination with X-axis, then from the right-angled triangle OMP, Adding the squares of Ax and Ay, we get Read more on Sarthaks.com - https://www.sarthaks.com/742290/explain-the-resolution-of-vectors-in-two-dimensions