1.
Let \({\vec v}_1 = (-4,1)\text{,}\) \({\vec v}_2 = (2,2)\text{,}\) \({\vec v}_3 = (1,2,3)\text{,}\) \({\vec v}_4 = (-2,1,0)\text{.}\) Find the values of the following expressions:
(a)
\({\vec v}_1 \cdot {\vec v}_2 = \fillinmath{XXX}\)
(b)
\({\vec v}_3 \cdot {\vec v}_4 = \fillinmath{XXX}\)
(c)
\(\lVert{\vec v}_1\rVert = \fillinmath{XXX}\)
(d)
\(\lVert{\vec v}_4\rVert = \fillinmath{XXX}\)
(e)
Are any of these vectors perpendicular to each other?
