Question

Express the vector ModifyingAbove Upper P 1 Upper P 2 with right arrowP1P2 in the form Bold v equals v 1 Bold i plus v 2 Bold j plus v 3 Bold kv=v1i+v2j+v3k if Upper P 1P1 is the point (0 comma 1 comma negative 3 )(0,1,−3) and Upper P 2P2 is the point (negative 5 comma negative 3 comma negative 9 )(−5,−3,−9).

Answer 1

`\overrightarrow{P_1P_2}=-5\textbf{i}-4\textbf{j}-6\textbf{k}`

Explanation:

`\overrightarrow{P_1P_2}=(P_2-P_1)\cdot(\textbf{i},\textbf{j},\textbf{k})=(-5-0)\textbf{i}+(-3-1)\textbf{j}+(-9-(-3))\textbf{k}\\\\\overrightarrow{P_1P_2}=-5\textbf{i}-4\textbf{j}-6\textbf{k}`