Force f with arrow = (9.0 n)i hat − (9.0 n)k acts on a pebble with position vector r with arrow = (0.90 m)j − (1.2 m)k relative to the origin. in unit-vector notation, what are the following? (a) the resulting torque on the pebble about the origin

τ = - (8.1 N-m) i - (10.8 N-m) j - (8.1 N-m) k

Explanation:

Given

r = (0 m) i + (0.9 m) j - (1.2 m) k

F = (9 N) i + (0 N) j - (9 N) k

We can apply

τ = r x F

τ = ((0 m) i + (0.9 m) j - (1.2 m) k) x ((9 N) i + (0 N) j - (9 N) k)

⇒  τ = - (8.1 N-m) i - (10.8 N-m) j - (8.1 N-m) k

every chemical equation adheres to the law of conservation of mass, which states that matter cannot be created or destroyed. therefore, there must be the same number of atoms of each element on each side of a chemical equation.