A plane is represented in vector form as 2x + y - z = 7. A vector perpendicular to the plane is…
the answer to this multiple choice question is -4i - 2j + 2k but I do not understand how this is so. I thought that for a vector to be perpendicular, its dot product with the vector orthogonal to the plane is 0. The vector orthogonal to the plane is 2i + j - k? A dot product with the vector -4i - 2j + 2k yields -12.
the answer to this multiple choice question is -4i - 2j + 2k but I do not understand how this is so. I thought that for a vector to be perpendicular, its dot product with the vector orthogonal to the plane is 0. The vector orthogonal to the plane is 2i + j - k? A dot product with the vector -4i - 2j + 2k yields -12.