Chapter 12 - Vector-Valued Functions - 12.4 Unit Tangent, Normal, And Binormal Vectors - Exercises Set 12.4 - Page 873: 24

False

Going to the definition of the Binormal vector, based on the description, it is perpendicular to both the Normal and Tangent vectors. Hence, to mathematically define it, we would need to use the cross-product instead of the dot product. Mathematically, it should look as such: \[ \mathbf{B}(t) = \mathbf{T}(t) \times \mathbf{N}(t) \] Hence, the statement is false. Result False.