- Find the vector
\mathbf{p} = \mathrm{proj}_{\mathbf{v}} \mathbf{AB} . - Find the vector
\mathbf{p} = \mathrm{proj}_{\mathbf{AB}} \mathbf{v} . - Construct the vector
\mathbf{AB} . - The desired distance is the length of
\mathbf{v} . - The desired distance is the length of
\mathbf{p} . - The desired distance is the length of
\mathbf{q} . - Find the vector
\mathbf{q} = \mathbf{AB} - \mathbf{p} .

- Find the vector
\mathbf{p} = \mathrm{proj}_{\mathbf{v}} \mathbf{AB} . - Find the vector
\mathbf{p} = \mathrm{proj}_{\mathbf{AB}} \mathbf{v} . - Construct the vector
\mathbf{AB} . - The desired distance is the length of
\mathbf{v} . - The desired distance is the length of
\mathbf{p} . - The desired distance is the length of
\mathbf{q} . - Find the vector
\mathbf{q} = \mathbf{AB} - \mathbf{p} .

- Find the vector
\mathbf{q} = \mathbf{AB} - \mathbf{p} . - The desired distance is the length of
\mathbf{p} . - Find the vector
\mathbf{w} = \mathbf{n} \times \mathbf{v} . - Find the vector
\mathbf{p} = \mathrm{proj}_{\mathbf{n}} \mathbf{AB} . - The desired distance is the length of
\mathbf{q} . - The desired distance is the length of
\mathbf{w} . - Construct the vector
\mathbf{AB} .

- Find the vector
\mathbf{q} = \mathbf{AB} - \mathbf{p} . - The desired distance is the length of
\mathbf{p} . - Find the vector
\mathbf{w} = \mathbf{n} \times \mathbf{v} . - Find the vector
\mathbf{p} = \mathrm{proj}_{\mathbf{n}} \mathbf{AB} . - The desired distance is the length of
\mathbf{q} . - The desired distance is the length of
\mathbf{w} . - Construct the vector
\mathbf{AB} .

You can earn partial credit on this problem.