Find the Cartesian equation of the plane passing through the point with normal vector .

Answer and explanation

Correct answer: A.

  1. Step 1: The Cartesian equation of a plane with normal vector has the form .
  2. Step 2: Substitute the known point on the plane to find : . Thus the equation is .
Answer
.
Why not the others: The equation flips the sign of the scalar product; the equation uses point coordinates as normal components; the equation mistakenly assumes passage through the origin.

Practise more Vectors in 3D Space and Complex Numbers.

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