Answer to Question #8893 in Mechanics | Relativity for pritesh
a force of 20N is directed from (1,2,3) to (2,2,4). experss force as a vector in terms of unit coordinate vector.
Let's find the vector V that is directed from P1 = (1,2,3) to P2 = (2,2,4):
V = P2 - P1 = (2-1,2-2,4-3) = (1,0,1).
Let's normalize this vector so it's be the unit lenght:
|V| = √(1² + 0² + 1²) = √2;
V = (1,0,1)/√2 (now |V|=1).
Now we can multiple this vector by 20N to get final force vector:
F = 20V = 20(1,0,1)/√2.