Question

A vector of magnitude 10 has it rectangular components as 8 and 6 along x and y axes .find the angles it makes with these axes

Answer 1

let v=10
its component be, x component=x and y component=y
since the components are at 90°
therefore, angle b/w the vector and x axis=y/x=tan theta
=> tan theta=6/8
=> tan theta =3/4
=> theta= 37°

similarly, angle made with y axis=tan alpha=x/y
=> tan alpha=8/6
=> tan alpha=4/3
=> alpha=53°

therefore the angle made with x axis is 37° and with y axis is 53°...

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