ENG5000 – Advanced Engineering Analysis 1:Intro to Vector Calculus : ENG5000 – Advanced Engineering Analysis 1:Intro to Vector Calculus “Mathematics for Graduate Engineers”
Review of vector operations : Review of vector operations Review
Review of vector operations : Review of vector operations Review
Dot Product (Inner Product) : Dot Product (Inner Product) The inner product of two nonzero vectors is 0 if and only if these vectors are perpendicular:
Dot Product (Inner Product) : Dot Product (Inner Product)
Dot Product (Inner Product) : Dot Product (Inner Product) Review
Dot Product (Inner Product) : Dot Product (Inner Product) if if
Scalar Triple Product : Scalar Triple Product
Vector Triple Product : Vector Triple Product
Differentiation of Vectors (Scalar) : Differentiation of Vectors (Scalar) If a vector is a function of a scalar, t (e.g. time)
Where are functions of t.
Example 1: Differentiation of Vectors (Scalar) : Example 1: Differentiation of Vectors (Scalar) Do the following:
Example 1: Differentiation of Vectors (Scalar) : Example 1: Differentiation of Vectors (Scalar) Solution:
Example 2: Differentiation of Vectors (Scalar) : Example 2: Differentiation of Vectors (Scalar)
Example 2: Differentiation of Vectors (Scalar) : Example 2: Differentiation of Vectors (Scalar)
Example 2: Differentiation of Vectors (Scalar) : Example 2: Differentiation of Vectors (Scalar)
Example 2: Differentiation of Vectors (Scalar) : Example 2: Differentiation of Vectors (Scalar)
Example 2: Differentiation of Vectors (Scalar) : Example 2: Differentiation of Vectors (Scalar)
Example 2: Differentiation of Vectors (Scalar) : Example 2: Differentiation of Vectors (Scalar)