Question

Which of the Pythagorean Theorem is valid in Electromagnetics?

(a) |dot product| + |dot product| = 1

(b) |cross product| – |cross product| = 1

(c) |dot product|^2 + |cross product|^2 = 1

(d) |dot product| + |cross product| = 0

I had been asked this question during an interview for a job.

The question is from Dot and Cross Product in chapter Vector Analysis and Applications of Electromagnetic Theory

Answer 1

Correct choice is (c) |dot product|^2 + |cross product|^2 = 1

To explain I would say: Option |dot product|^2 + |cross product|^2 = 1 gives |cos|^2 + |sin|^2 = 1, which is the right answer.