Question

Use the dot product to determine whether the vectors are parallel, orthogonal, or neither.v = 3i - j, w = 6i - 2jGroup of answer choicesparallelorthogonalneither

Answer 1

SOLUTION:

Step 1:

In this question, we are given the following:

Use the dot product to determine whether the vectors are parallel, orthogonal, or neither:

v = 3i - j, w = 6i - 2j



Step 2:

The details of the solution are as follows:

$\begin{gathered} \text{comparing v and w, we have that:} \\ w\text{ = 6}i\text{ - 2j = 2( 3i - j ) } \\ \text{where v = 3i - j} \\ \text{Then, we have that:} \\ w\text{ = 2v} \\ \text{Hence, the vectors are PARALLEL} \end{gathered}$