A unit vector is represented by `a hat I + b hat j +chatk` If the value of a and b are 0.6 and 0.8 respectively find the value of c

Explanation

To solve the problem, we need to find the value of \( c \) in the unit vector represented as \( \hat{a} + \hat{b} + \hat{c} \) where \( a = 0.6 \) and \( b = 0.8 \).

### Step-by-Step Solution:

1. **Understanding the Unit Vector**:
A unit vector has a magnitude of 1. The given vector can be expressed as:
\[
\vec{v} = 0.6 \hat{i} + 0.8 \hat{j} + c \hat{k}
...