Question

COMPUTE THE PROJECTION OF THE VECTOR V=(1,1,0) ONTO THE PLANE X+Y-Z=0.

Answer 1

Answer:

here is your answer

Step-by-step explanation:

Calculate the matrix for the projection of R3 onto the plane x+y+z=0.

If b=⎡⎣⎢xyz⎤⎦⎥ and A=⎡⎣⎢10−101−1⎤⎦⎥ I get stuck when trying to solve using

ATAx^=ATb

and

projvb=Ax^

AT=[1001−1−1]

therefore ATA=[2112]

and ATb=[x−zy−z]

So

[2112]x^=[x−zy−z]

Let's say x^=[ab],

then 2a+b=x−z and a+2b=y−z

Here is where I get confused, what is x^ so that I can plug it into projvb=Ax^ and get the projection vector?

hope it helps you

Answer 2

Answer:

HOPE THIS IS HELPFUL ^_^