Answer:
A·B = 4
Explanation:
Given that,
Vector A = 2i+3j-3k
Vector B = -i+5j+3k
We need to find the value of A·B.
We know that,
i·i=j·j=k·k = 1 and i·j=j·k=k·i=0
So,
[tex]A\cdot B=(2i+3j-3k)\cdot (-i+5j+3k)\\\\=-2+5(3)+(-3)(3)\\\\=-3+15-9\\\\=4[/tex]
So, the value of A·B is equal to 4.