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Find the distance from the point to the plane through a(0,0,0) b?

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Final answer:

To find the distance from a point to a plane, use the formula d = |ax + by + cz + d| / sqrt(a^2 + b^2 + c^2). For this problem, substitute the given values and calculate the distance.

Step-by-step explanation:

To find the distance from a point to a plane, we can use the formula:

d = |ax + by + cz + d| / sqrt(a^2 + b^2 + c^2)

In this case, the point is a(0,0,0) and the plane is represented by the equation ax + by + cz + d = 0. Substituting the values a = 1, b = 0.0211, and c = -0.0211 into the formula:

d = |1(0) + 0.0211(0) + (-0.0211)(0) + d| / sqrt(1^2 + 0.0211^2 + (-0.0211)^2)

d = |0 + 0 + 0 + d| / sqrt(1 + 0.00044421 + 0.00044421)

d = |d| / sqrt(1.00088842)

So, the distance from the point to the plane is |d| / 1.00088842 units.

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