# Is there a method to "decompress" acceleration scalar?

Is there a method to "decompress" the acceleration scalar? For example, I am computing the scalar as: $$\sqrt{a_x^2 + a_y^2 + a_z^2}$$ where $$a_x, a_y$$ and $$a_z$$ are the components of the acceleration vector. If I have the scalar value (norm), is there a way to determine the $$a_x, a_y, a_z$$ components? A colleague mentioned using gyroscope or angular data, but did not know further.

• There is one exception, when one can derive the components - when $|a| = 0$, then $a = \vec{0}$ :) Nov 11, 2020 at 21:32