\(P=(2,1, - 3)\) and \(Q= (8, - 4,5)\). What is \(\overrightarrow {PQ}\)
\[\left(\begin{array}{l}\,\,\,\,6\\\,\,\,\,0\\- 3 \end{array}\right)\]
\[ \left( \begin{array}{l}\,\,\,\,\,6\\-5\\\,\,\,\,8\end{array}\right)\]
\[\left(\begin{array}{l}- 6\\\,\,\,\,\,5\\ -8 \end{array}\right)\]
\(P = (0,1, - 5)\) and \(\overrightarrow{PQ}=\left(\begin{array}{l}\,\,\,\,\,6\\-1\\\,\,\,\,2\end{array}\right) \).
What are the coordinates of Q?
\[( - 6,2, - 7)\]
\[(6,0, - 3)\]
\[(6,2, - 7)\]
\(Q = (4, - 2,1)\) and \(\overrightarrow {PQ} = \left( \begin{array}{l}3\\2\\1\end{array} \right)\).
What are the coordinates of P?
\[(1, - 4,0)\]
\[( - 1,4,0)\]
\[(7,0,2)\]
\(\overrightarrow{PQ} = \left( \begin{array}{l}\,-1\\\,\,\,\,\,4\\-2\end{array} \right)\).
What is the magnitude of \(\overrightarrow {PQ}\)?
\[\sqrt 8\]
\[\sqrt {11}\]
\[\sqrt {21}\]
Find the value of \(a.(b+c)\) where \(a=\left(\begin{array}{l}\,\,\,\,6\\-1\\\,\,\,0\end{array}\right)\), \(b = \left(\begin{array}{l}2\\1\\3\end{array}\right)\) and \(c =\left(\begin{array}{l}\,\,\,\,\,0\\\,\,\,\,\,1\\-1\end{array}\right)\)
\[8\]
\[12\]
\[10\]