Notes For Discussion Questions Topic: Distance ( 1 ) Distance between two points in IR : P = ( * 1 , y , , 2 , ) S = (X2, yz, Ez) P. distance d = V ( x 2- x , ) 2 + ( yz- y , ) 2 + ( 2 2 - 8, 12 is the length of PS or sp ( ii) Distance from a point S to a line containing P Parallel to V. S. d = IPS x VI 101 P (ili) Distance from a point S to a plane containy p with normal vector n S 1 d = . | PQuestion 1 use the geometric definition of cross product ( lecture II ) to explain the distance equation in part ( ( ) Question 2 use vector projection to explain the distance equation in part (lii ) Question 3 a) , Use ( ic ) to find the distance from Point ( 2 , 1 , 3 ) to the line x = 2 +2t y = 1+6t Z = 3 b). use. (lic ) to find the distance from Point ( 2, 2, 3 ) to the plane 2x + 4+ 28 = 4