Vectors and represent two displacements.

PHYSICS · Multi-part · AP · Physics C: Mechanics · Kinematics · Kinematics

Problem

Vectors

\mathbf{u}=5\hat{i}-2\hat{j}+7\hat{k}

and

\mathbf{v}=-3\hat{i}+6\hat{j}-4\hat{k}

represent two displacements. (a) Compute the vector

\mathbf{w}=\mathbf{u}-\mathbf{v}

. (b) Find the magnitude of

\mathbf{w}

. (c) Obtain all three direction angles of

\mathbf{w}

correct to one decimal place, taking care to use the correct signs of the components. (d) State in which octant the vector

\mathbf{w}

lies.