Discussion Forum

If the origin and the points P(2,3,4) , Q(1,2,3) and R(x,y,z)  are coplanar, then

Answer:

Explanation:

Let O (0,0,0) be the origin ,

It is given that O(0,0,0) , P(2,3,4), Q(1,2,3) and R(x,y,z) are coplannar

$\therefore$  [OR OP OQ]

$\begin{bmatrix}x-0 & y-0&z-0 \\2-0 & 3-0 &4-0\\1-0 &2-0 &3-0 \end{bmatrix}=0$

   $\begin{bmatrix}x & y&z \\2 & 3 &4\\1 &2 &3 \end{bmatrix}=0$

  x(9-8)-y(6-4)+z(4-3)=0

$\Rightarrow$     x-2y+z=0