Primera Parte Vectores. (1/3)

The magnitude (norm) of a vector is not equal to its double product.

If two vectors are orthogonal (perpendicular), their dot product is zero.

|u ⋅ v| ≠ ||u|| ⋅ ||v|| ⋅ sin(θ) (incorrect). The magnitude of the dot product is |u ⋅ v| = ||u|| ⋅ ||v|| ⋅ cos(θ).

The dot product is commutative: u ⋅ v = v ⋅ u

The dot product is not associative.

The cross product is not defined for vectors in R^n (n>3).

The cross product is NOT commutative: u × v ≠ v × u

|u × v| = ||u|| ⋅ ||v|| ⋅ sin(θ) (Correct).

The cross product is defined only in R^3.

The cross product is not associative.