Exam 1

1. Question

   What is the distance between the two points $p=(2,4)$ and $q=(5,5)$ in a Cartesian coordinate system?
   
   
   1. $1.261$
   2. $2.000$
   3. $2.695$
   4. $0.408$
   5. $3.162$
   
   

   Solution

   The distance $d$ of $p$ and $q$ is given by $d^2=(p_1-q_1{)}^2+(p_2-q_2{)}^2$ (Pythagorean formula).
   Hence $d=\sqrt{(p_1-q_1{)}^2+(p_2-q_2{)}^2}=\sqrt{(2-5{)}^2+(4-5{)}^2}=3.162$.
   
   
   
   1. False
   2. False
   3. False
   4. False
   5. True