Compute the x- and y-components of the vectors $\stackrel{\rightharpoonup }{A}$,$\stackrel{\rightharpoonup }{B}$, $\stackrel{\rightharpoonup }{C}$and $\stackrel{\rightharpoonup }{D}$in Fig. E1.24.

Here,

Vector are easily defined with the help of there magnitude and there angle withthe x and the y axes.

Here in this case there are four vectors given

For this vector we will take the use of magnitude given as well as the angle with the x axis and the y axis.

For the direction shown in the graph

$\stackrel{\rightharpoonup }{A}$=(0,-8) in meters

As here the vector is exactly on the y axis so the magnitude with respect to y axis will be zero.

For vector B the angle of that vector made with the x axis will be 90 – 30

That is the angle made will be 60

Hence the components of the b vector will be magnitude multiplied by the cos angle and sin angle made with respect to x axis

$\stackrel{\rightharpoonup }{B}=15\cos 60+15\sin 60$

By putting the value of cos 60 = ½ and sin 60 = $\sqrt{3}$/2

We get

$\stackrel{\rightharpoonup }{B}$=(7.5 , 13) in meters

Similarly for vector C