Problem 6-14. Invariance of a scalar product under rotation. The inner product of two vectors is a scalar, and so should not change from one coordinate system to another. To check this, use the vectors and ) from the numerical example in the discussion of tensor conductivity in this chapter. See if the inner product ) is the same in both coordinate systems used. Problem 6-14. Invariance of a scalar product under rotation. The inner product of two vectors is a scalar, and so should not change from one coordinate system to another. To check this, use the vectors and ) from the numerical example in the discussion of tensor conductivity in this chapter. See if the inner product ) is the same in both coordinate systems used