According to the Principle of Vastu shastra, Your Kitchen should be in South-East zone (Fire Zone) and facing while cooking East.
As you mentioned in the question.
If your kitchen in the North-East zone, It will be very bad for you as you know North-East is the direction of Water.
and if you have Kitchen in North-East, You should apply these Remedies:
- Place a Mirror on the North wall inside Kitchen.
- Place a Red color bulb.
- Place a Pyramid inside the kitchen.
for South facing Remedy, you can place a looking mirror in front of the South wall.
I hope this will help you.
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