Find the unit vector of `4hat(i)-3hat(j)+hat(k)`

Options

A. `(3hat(i)+2hat(j))/(9)`
B. `(4hat(i)-3hat(j)+hat(k))/(sqrt(26))`
C. `(5hat(i)+6hat(j)-hat(k))/(sqrt(2))`
D. `(2hat(i)+2hat(j)-2hat(k))/(sqrt(26))`

Explanation

To find the unit vector of the vector \( \mathbf{A} = 4\hat{i} - 3\hat{j} + \hat{k} \), we will follow these steps:

### Step 1: Identify the vector components
The given vector can be expressed as:
\[ \mathbf{A} = 4\hat{i} - 3\hat{j} + 1\hat{k} \]
Here, the coefficients of the unit vectors are:
...