Answer
(a) C has the largest $x$ component
(b) B has the largest $y$ component
Work Step by Step
Let's take the units of each vector as $p$. Now we calculate the magnitude of the x and y components, in order to determine which vector has the
largest x and y components.
$A_{x}=(100\space p)cos90^{\circ}=0\space p$
$A_{y}=(100\space p)sin90^{\circ}=100\space p$
$B_{x}=(200\space p)cos60^{\circ}=100\space p$
$B_{y}=(200\space p)sin60^{\circ}=200\times\frac{\sqrt 3}{2}\space p=173\space p$
$C_{x}=(150\space p)cos0^{\circ}=150\space p$
$C_{y}=(150\space p)sin0^{\circ}=0\space p$
So,
(a) C has the largest $x$ component
(b) B has the largest $y$ component
