If n̂ is a unit vector in the direction of the vector A (vector), then

(1) n̂ = A / |A|
(2) n̂ = |A| / A
(3) n̂ = |A| A
(4) n̂ = A

Question

If n̂ is a unit vector in the direction of the vector A (vector), then

(1) n̂ = A / |A|
(2) n̂ = |A| / A
(3) n̂ = |A| A
(4) n̂ = A

Accepted Answer

>

> [!TLDR]
> By definition, a unit vector in the direction of A is A divided by its magnitude |A|.
>
> A unit vector has magnitude 1 and points in the same direction as the original vector. Given vector **A** with magnitude |A|, dividing the vector by its own (scalar) magnitude scales its length down to exactly 1 while preserving direction:
> n̂ = A / |A| …

Q.If n̂ is a unit vector in the direction of the vector A (vector), then

Concept understanding — Scalars & Vectors

Q.If n̂ is a unit vector in the direction of the vector A (vector), then

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