DEPARTMENT OF CHEMICAL & MATERIALS ENGINEERING
CH E 374 Computational Methods in Engineering
Winter 2012
The main objective of the course is to introduce and develop various computational
algorithms for solving a range of engineering problems using digita
Definition. A non-empty set of vectors in Rn is called an
orthogonal set if each pair of vectors in the set are orthogonal.
An orthogonal set of unit vectors is called an orthonormal set.
Lines & Planes
A vector n that is perpendicular to a plane is calle
Definition.
Definition.
Definition.
Definition.
Two vectors u and v are said to be orthogonal if
Theorem 3.2.2. If u, v, and w are vectors in
if k is a scalar, then:
(a) u.v = v.u
(b) u.(v + w) = u.v + u.w
(c) k(u.v) = (ku).v
(d) v.v 0 and v.v = 0 if and
Definition.
Definition.
Definition.
Definition.
Two vectors u and v are said to be orthogonal if
Theorem 3.2.2. If u, v, and w are vectors in
if k is a scalar, then:
(a) u.v = v.u
(b) u.(v + w) = u.v + u.w
(c) k(u.v) = (ku).v
(d) v.v 0 and v.v = 0 if and