$2\mathrm{.}27$ The $x-$axis is parallel to the bar $AB.$ The $x^{\text{'}}-$axis is parallel to the bar $BC.$ The magnitude of the vector $F$ is

$200lb.$

a$.$ Express $F$ in terms of its components in terms of the $x-y$ coordinate system. Use these components to

determine the magnitude of $F.$

b$.$ Express $F$ in terms of its components in terms of the $x^{\text{'}}-y^{\text{'}}$ coordinate system. Use these components

to determine the magnitude of $F.$

$2\mathrm{.}28$ Suppose that the magnitude of the component of the vector $F$ parallel to the $x^{\text{'}}-$axis is $150lb.$

a$.$ What is the magnitude of $F?$

b$.$ Express $F$ in terms of its components in terms of the $x-y$ coordinate system.