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## Homework Statement

The question is as attached in the picture.

## The Attempt at a Solution

I understand and got the answer to part (a) but from (b) onwards I am completely lost. Here are my assumptions:

1)Edges of 'cube' are still of length a

2)Successive planes are parallel

But, there is some things remain unknown:

1)Where is the origin at? The centre of the cube? or at the bottom leftmost point?

2)Why does the plane pass through (a/2, 0, a/2)?

3) Do we assume that the plane contains the origin? Then won't the equation be

r . n = 0?

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