Question

write an expression for the unit vector in the direction of vector A
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Answer 1

★To find a unit vector with the same direction as a given vector, we divide the vector by its magnitude.

➡For example, consider a vector v = (1, 4) which has a magnitude of |v|. If we divide each component of vector v by |v| we will get the unit vector uv which is in the same direction as v.

Answer 2

Answer:

A unit vector is $\frac{A}{|A|}$

Explanation:

A quantity defined in magnitude and direction is called a vector quantity.

In physics, the term displacement is a vector quantity as displacement has a particular direction and magnitude while distance is not a vector quantity as it has magnitude but no particular direction instead distance is a scalar quantity.

A unit vector is the unit quantity of any vector quantity. It is represented by the cap sign  "^".

The unit vector in direction of vector A  = $\frac{A}{|A|}$.