A unit vector is basically a vector meant to specify a direction. It has a length of 1.

For any vector `veca` , the corresponding unit vector is `hata = veca/||a||` . This has the same direction as that of `veca` but a magnitude equal to 1.

If all the...

## Unlock

This Answer NowStart your **48-hour free trial** to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Already a member? Log in here.

A unit vector is basically a vector meant to specify a direction. It has a length of 1.

For any vector `veca` , the corresponding unit vector is `hata = veca/||a||` . This has the same direction as that of `veca` but a magnitude equal to 1.

If all the components of a vector are equal to 1, the magnitude of the vector is `sqrt(1^1 +1^1 +1^1)` = `sqrt 3` . This is not a unit vector.

**The statement " If all the components of a vector are equal to 1, then that vector is a unit vector." is false. **