Aparticle undergoes two displacements. the first has a magnitude of 550 cm and makes an angle of 160 degrees with the positive x-axis. the resultant displacement has a magnitude of 725 cm and is directed at an angle of 75 degrees to the positive x-axis. find the magnitude and direction of the second displacement.

Answer

magnitude of second vector is 871 and it makes angle of 36.019 degrees to the positive x-axis

Solution

In this question we have given  

vector 1=

and resultant =

let second vector be V=

............(1)

on comparing x and y component of both sides of equation 1

............(3)

Therefore,

divide equation 3 by equation (2)

put value of in equation (2)

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the components of a vector are the parts of the vectors that are to each other.

b perpendicular