$1)$ A vector A has a magnitude of$\mathrm{ 5}$ units and forms a$\mathrm{on}$angle of 53 ^o with the positive x axis$.$They are the components Ax and Ay of the vector A$?$

A$)$ Ax $=3,$ Ay $=4$

B$)$ Ax$=4,$ Ay$=3$

C$)$ Ax$=5,$ Ay$=4$

D$)$ Ax$=5,$ Ay$=5$

$2)$ Two vectors A and B have magnitudes of$\mathrm{ 1}0$ y $20$ units respectively. If the angle between them is 90 ^o, whatis the magnitude of the resulting vector R$=$ A $+$ B$?$

A$)22\mathrm{.}36$ units

B$)30$ units

C$)10$ units

D$)20$ units

$3)$ A vector C has Cx components$=-3$ y, Cy$=4.$ What is the magnitude of C$?$

A$)5$ units

B$)7$ units

C$)1$ units

D$)12$ units

$4)$ If a vector D has a magnitude of$\mathrm{ 8}$ units and its component in y is Dy$=6$ units, what is the value of its component in x$,$ Dx$?$

A$)2$ units

B$)6\mathrm{.}93$ units

C$)10$ units

D$)5\mathrm{.}29$ units

$5)$ A vector H has $15$ units of magnitude form one angle of$\mathrm{ 0}\backslash$deg with x axis$.$ What is its component in y$,$ Hy$?$