Question

Let v be a vector. Find a unit vector that points in the same direction as v.

Answer 1

To find a unit vector that points in the same direction as vector v, divide v by its magnitude.

Step-by-step explanation:

The unit vector that points in the same direction as vector v can be found by dividing v by its magnitude. The magnitude of vector v can be computed using the formula:

|v| = sqrt(v12 + v22 + v32)

Once the magnitude is known, the unit vector u can be found by dividing v by its magnitude:

u = 1⁄|v|v