A unit vector is characterized by a magnitude, or length, of 1. To ascertain a unit vector that aligns with the direction of a specified vector, the initial vector must be divided by its magnitude. The magnitude is calculated by squaring each individual component of the vector, adding them together, and finally, applying the square root to the sum.
| Topic | Problem | Solution |
|---|---|---|
| None | Find a unit vector in the same direction as the g… | Step 1: Calculate the magnitude of the given vector. The magnitude of a vector \( \vec{v} = a\hat{i… |