A vector is given by its components, \(A_{x} = 2.5\) and \(A_{y} = 7.5\). What angle does vector \(\mathbf{A}\) make with the positive x-axis?

Which pair of vectors could produce a resultant of 35?

As the angle between a given vector and the horizontal axis increases from \(0^{0}\) to\( 90^{0}\), the magnitude of the vertical component of this vector

Vector \( \mathbf{A}\) has a magnitude of 10 units and makes and angle of \(30^{0}\) with the horizongal x-axis. Vector \(\mathbf{B}\) has a magnitude of 25 units and makes an angle of \(50^{0}\) with the negative x-axis. What is the magnitude of the resultant between these two vectors?