The $x$-component of the resultant of several vectors is:

$A$ particle starting from the origin $(0, 0)$ moves in a straight line in the $(x, y)$ plane. Its coordinates at a later time are $(\sqrt{3}, 3)$. The path of the particle makes an angle of ......... $^o$ with the $x$-axis.

Explain the resolution of a vector in three dimensions.

Two forces act on point $A$ along the sides $AC$ and $AB$ of a right-angled triangle $ABC$ (where $\angle A = 90^{\circ}$). The magnitudes of these forces are inversely proportional to the lengths of the sides $AC$ and $AB$ respectively. If $F_1 = 1/AC$ and $F_2 = 1/AB$,then the resultant of these forces is proportional to:

$A$ person walks $25.0^{\circ}$ north of east for $3.18 \,km$. How far would she have to walk due north and then due east to arrive at the same location?

If two forces of $5 \, N$ each are acting along $X$ and $Y$ axes,then the magnitude and direction of the resultant is