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Plane — general
ax + by + cz + d = 0
Where: a = Plane — general, b = b, c = y-intercept, d = distance, x = x, y = y, z = z
Solved example
Given: b = 7, c = 5, d = 10, x = 4, y = 3, z = 8
Find: a (Plane — general)
- Formula: a·x + b·y + c·z + d = 0
- Rearranged for a: a = (-b·y - c·z - d)/x
- Substitute the values: a = (-10 - 3·7 - 5·8)/4
- Result: a = -17.75
Answer: a = -17.75
Calculator
How to calculate Plane — general
- Write down the formula: ax + by + cz + d = 0.
- Note the known values (b, c, d, x, y, z).
- Substitute them and simplify to find a.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Plane — general?
The formula is ax + by + cz + d = 0, where a = Plane — general, b = b, c = y-intercept, d = distance, x = x, y = y, z = z.
What is Plane — general when b = 7, c = 5, d = 10, x = 4, y = 3, z = 8?
a = -17.75. Substitute the values into ax + by + cz + d = 0 and simplify.