0

Consider a three points $M1,M2$ and $M3$ that are not on the same line.Write the equation of the line $L1$ passing through the points $M1$ and $M2$. Write the equation of the plane $α$ passing through the line $L1$ and the point $M3$. Write the equation of the plane $β$ passing through the point $M3$ and perpendicular to the plane $α$. Find the symmetric (canonical) equation of the line $L2$ that is intersection of planes of $α$ and $β$. Determine the coordinates of the point $A$ of intersection of lines $L1$ and $L2$. Draw the corresponding figure.

Give me a little hint

Jean Marie
  • 81,803
NoN
  • 11
  • Hints : 1) it is not "the" equation of line $L_1$ but the equationS $x=...; y=...$. 2) You can find the equation of the plane $\alpha$ directly as being the plane passing through $M_1,M_2,M_3$. – Jean Marie Dec 25 '21 at 16:53
  • You don't say if you can use coordinates $x_k,y_k,z_k$ of points $M_k$... Otherwise, for your first question, the line passing through $M_1$ and $M_2$ is the set of points $M$ of the form $M= tM_1+(1-t)M_2$ for any $t \in \mathbb R$... – Jean Marie Dec 25 '21 at 22:58
  • Any comment ?.... – Jean Marie Dec 25 '21 at 23:44

0 Answers0