From the point drawn normals to the two planes and have the equations and . A plane containing the two normals. Determine the intersection, and . (ON-system.) ima answer the intersection
how shall i take dot product on this one?
Hey Petrus.
If two planes intersect then they are equal to each other.
Can you solve the linear system corresponding to the intersection?
(Hint: for the third plane the normal of this plane will correspond to the cross product of the two other normal vectors).
Actually I have not idea exactly what that says.
I think it means that $\displaystyle P$ is not on either plane: $\displaystyle \Pi_1:N_1\cdot (R-Q)=0~\&~\Pi_2:N_2\cdot (R-S)=0$.
The plane $\displaystyle \Pi : (N_1\times N_2)\cdot (R-P)=0$ contains the $\displaystyle P$ and the two normals
If that is not what you are asking, try to clear it up please.
From the plane P draw the normal to the both i1 and i2 that have the equation x-y+5z=2 and y-2z=8. A plane i3 got the both normal. Decide the intersection between i1,i2 and i3 ( on bas)
Thats My translate sorry i hope u understand but the answer shall be
111/14,47/7,-9/14
Since this is a 3x3 system with Ax = b we know that x = A^(-1)b and there are many websites that do matrix multiplication and inverse calculations.
Here is one of them:
3x3 Inverse Matrix Calculator & Calculation
3x3 Matrix Multiplication Calculator, 3x3 Matrices Calculation Formula