Cpp program to find the Dot and Cross product of two vectors
Assume that there are two vectors A = a1i + a2 j + a3k and B = b1i + b2j
+ b3k and the dot product of them can be found as
A.B = a1.b1 + a2.b2 + a3.b3 .
And the Cross product of A and B can be found as
AXB = i(a2.b3 - a3.b2) + j(a3.b1 -
a1.b3) + k(a1.b2 - a2.b1).
To mimic the vector we can use c++'s struct or class or array.
But I
suggest you to use the struct or class to mimic the vector because you may
implement more functions as addition, subtraction, etc.
In this snippet code I have used the cpp's struct.
The Cross product of two vectors "a" and "b" is a new vector that is perpendicular to both "a" and "b" and the magnitude is equal to
the bounded area thru both vectors.
The Dot Product is a scalar quantity
which is also equal to the dot of projection vector of "a" on to "b" with
the magnitude of "b".
