Two forces act on a body: N and N

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Kinematics · Kinematics

Problem

Two forces act on a body:

\vec{F}_1=3\mathbf{i}+4\mathbf{j}-2\mathbf{k}

N and

\vec{F}_2=-\mathbf{i}+2\mathbf{j}+2\mathbf{k}

N. (i) Find the resultant force acting on the body. (ii) Determine the unit vector in the direction of this resultant. (iii) A third force

\vec{F}_3

acts along the direction found in part (ii) and has magnitude

10

N. Find the components of

\vec{F}_3