If A is a vector with magnitude A, then the unit vector hat a in the direction of vector A is

Question

If A is a vector with magnitude A, then the unit vector hat a in the direction of vector A is (A) A A (B) A ⋅ A (C) A × A (D) ( A /| A |)

Tardigrade Admin · Accepted Answer

In general, a vector A can be written as A =| A | hat n ....(i) where, hat n is a unit vector along A. If hata is a unit vector along A, then from Eq. (i) we can write, hat a =( A /| A |)

Q. If $A$ is a vector with magnitude $A$ , then the unit vector $\overset{a}{^}$ in the direction of vector $A$ is

$AA$

$A \cdot A$

$A \times A$

$\frac{A}{∣ A ∣}$

In general, a vector $A$ can be written as
$A = ∣ A ∣ \overset{n}{^}$ ....(i)
where, $\overset{n}{^}$ is a unit vector along $A$ .
If $\overset{a}{^}$ is a unit vector along $A$ , then from Eq. (i) we can write, $\overset{a}{^} = \frac{A}{∣ A ∣}$

Q. If A is a vector with magnitude A, then the unit vector a^ in the direction of vector A is

AA

A⋅A

A×A

∣A∣A​