Page 134 - C:\Users\trainee\AppData\Local\Temp\msoEAA3.tmp

Fundamentals of Stress and Vibration 1. Mathematics for Structural mechanics
[A Practical guide for aspiring Designers / Analysts]

[Fig 1.40: Vector product rule]

Thus, two vectors can be multiplied to yield another vector. The fundamental advantage of vector
product is that, the direction of the resultant quantity is readily got, which helps in complex
situations.

A vector product is given by the following expression:

a x b = a b sinθ - - - - (1.30)
This can be visualized as follows:

Let us consider two vectors a and b represented on a cartesian plane as shown in [Fig 1.41].

[Fig 1.41: Cartesian components of vectors a and b ]

Their product of vectors a and b in terms of their components could be computed as follows:

Components of a = a i + a j
1
2

Components of b = b i + b j
2
1

QP No. SSC/Q4401, Version 1.0, NSQF Level 7, Compliant with Aero and Auto Industries, Page 37