Calculating the magnitude of a vector test questions

1

\[\overrightarrow {PQ} = \left( {\begin{array}{*{20}{r}} { - 1}\\ 4\\ { - 2} \end{array}} \right)\]

What is the magnitude of \(\overrightarrow {PQ}\).

2

\(A=\left(\begin{array}{r}-1\\2\\3\end{array}\right)and~B=\left(\begin{array}{r}3\\-2\\4\end{array}\right)\).

Find \(\overrightarrow{AB}\).

3

\(A=\left(\begin{array}{r}-1\\2\\3\end{array}\right)and~B=\left(\begin{array}{r}3\\-2\\4\end{array}\right)\).

Find the magnitude of AB.

4

\(P = \left( {\begin{array}{*{20}{c}} 1\\ 3\\ 2 \end{array}} \right)\,and\,Q = \left( {\begin{array}{*{20}{r}} { - 3}\\ 4\\ { - 2} \end{array}} \right)\).

Find \(\left| {\overrightarrow {PQ} } \right|\).

5

\[\left|{\overrightarrow{OP}}\right|=\left(\begin{array}{c}1\\4\\8\end{array}\right)\]

Find \(\left|{\overrightarrow{OP}}\right|\)