Question

In Exercises 28-31, find ${\mathrm{proj}}_{\mathbf{u}}\mathbf{v}\mathbf{}\mathrm{and}\mathbf{}{\mathrm{proj}}_{\mathbf{v}}\mathbf{u}$.

Short answer

The values are${\mathrm{proj}}_{\mathbf{u}}\mathbf{}\mathbf{v}=0\mathrm{and}{\mathrm{proj}}_{\mathbf{v}}\mathbf{}\mathbf{u}=0$.

Step-by-step solution

Step 1. Given information.

The given vectors are:

Step 2. Find the vector projection of v onto u.

Then,

Therefore,${\mathrm{proj}}_{\mathbf{u}}\mathbf{}\mathbf{v}=0$.

Step 3. Find the vector projection of u onto v.

Therefore,${\mathrm{proj}}_{\mathbf{v}}\mathbf{}\mathbf{u}=0$.