The two vectors A = 2i -j and B=4i+j - 2k define a plane. Which of the following vectors is perpendicular to this plane? A) 3i - 4j + 6k B) - 2i + 6j + 4k C) 2i+4j+6k D) 4i + 6j - 4k E) 2i-4j+6k
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To do this, we can take the cross product of two vectors that lie in the plane. Let's choose vectors A and B. The cross product of A and B is given by: N = A x B = (A_y * B_z - A_z * B_y)i + (A_z * B_x - A_x * B_z)j + (A_x * B_y - A_y * B_x)k Plugging in the Show more…
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