spain-selectividad 2017 Q2

spain-selectividad · Other · selectividad__madrid_matematicas-II_ordinaria 3 marks Vectors 3D & Lines Multi-Part 3D Geometry Problem
Given the points $P ( 1 , - 2,1 ) , Q ( - 4,0,1 ) , R ( - 3,1,2 ) , S ( 0 , - 3,0 )$, it is requested:
a) (1 point) Find the equation of the plane containing $\mathrm { P } , \mathrm { Q }$ and R.
b) (1 point) Study the relative position of line $r$, which passes through points P and Q, and line $s$, which passes through R and S.
c) (1 point) Find the area of the triangle formed by points $\mathrm { P } , \mathrm { Q }$ and R. 
Given the points $P ( 1 , - 2,1 ) , Q ( - 4,0,1 ) , R ( - 3,1,2 ) , S ( 0 , - 3,0 )$, it is requested:

a) (1 point) Find the equation of the plane containing $\mathrm { P } , \mathrm { Q }$ and R.

b) (1 point) Study the relative position of line $r$, which passes through points P and Q, and line $s$, which passes through R and S.

c) (1 point) Find the area of the triangle formed by points $\mathrm { P } , \mathrm { Q }$ and R.
Paper Questions
Q1 Q2 Q3 Q4