Find the Cartesian equation of the plane passing through the point with normal vector .
Answer and explanation
Correct answer: A.
- Step 1: The Cartesian equation of a plane with normal vector has the form .
- 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.
Free questions with an explanation for every one, and full timed Singapore GCE A-Level mock tests.