Given units, units and a vector of magnitude units making an angle above the positive…

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Kinematics · Kinematics

Problem

Given

\mathbf{A}=7\,\hat{i}-2\,\hat{j}

units,

\mathbf{B}=-4\,\hat{i}+6\,\hat{j}

units and a vector

\mathbf{C}

of magnitude

5

units making an angle

60^{\circ}

above the positive x-axis, find the resultant

\mathbf{R}=\mathbf{A}+\mathbf{B}-\mathbf{C}

. (i) Determine the components of

\mathbf{R}

.},{ (ii) Calculate the magnitude of

\mathbf{R}

.},{ (iii) State the angle that

\mathbf{R}

makes with the positive x-axis.