The content is just an excerpt from the complete note for SS2 Second Term Further Mathematics Lesson Note – Vectors in Three Dimensions. Check below to download the complete DOCUMENT
WEEK FOUR
VECTORS IN THREE DIMENSIONS
CONTENTS
(a) Scalars Product of Vectors in Three Dimensions
(b) Application of Scalar Product
SUB TOPIC: SCALAR PRODUCT OF VECTORS IN THREE DIMENSIONS
The scalar product of three vectors a,b and c is defined as a.(bxc) which is a scalar quantity.
If three vectors a,b and c are given as:
a = a1i + a2j + a3k
b = b1i + b2j + b3k
c = c1i + c2j + c3k
The scalar product is found the same way as the determinant of a 3×3 matrix.
We denote dot or scalar product of two vectors A and B by A.B. This dot product is defined as the product of the magnitudes of A and B and the cosine of the angle between them.
A.B =
Scalar product otherwise called dot product (or inner products).
The Scalar product between two perpendicular vectors is zero.
Summary of the scalar product of unit vectors is provided below:
To gain full access to the note: DOWNLOAD FILE
