Linear algebra question:
Given the coordinates of A(1,2,3), B(2,3,4), C(2,-1,1), D(3,4,11), determine the E coordinates which is the foot of the perpendicular drawn from D to the plane ABC and verify that the normal versor "n" of ABC is perpendicular to AE

Question

Linear algebra question:
Given the coordinates of A(1,2,3), B(2,3,4), C(2,-1,1), D(3,4,11), determine the E coordinates which is the foot of the perpendicular drawn from D to the plane ABC and verify that the normal versor "n" of ABC is perpendicular to AE

ganeshie8 · Answer

start by finding equation of plane

ganeshie8 · Answer

Normal vector :

$$\overrightarrow{AB} \times   \overrightarrow{AC}$$

ganeshie8 · Answer

the normal vector also gives the direction vector for the perpendicular DE

anonymous · Answer

And then how should I reason?

ganeshie8 · Answer

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