Read the following information carefully and answer the questions given below
`a+b+c= 0` such that `|a|= 3, |b|=5 and |c|=7`
What is `|a+b|` equal to ?

Options

A. 7
B. 8
C. 10
D. 11

Answer

To solve the problem, we start with the given equation and the magnitudes of the vectors:

1. **Given Information**:
- \( a + b + c = 0 \)
- \( |a| = 3 \)
- \( |b| = 5 \)
- \( |c| = 7 \)

2. **Rearranging the Equation**:
- From the equation \( a + b + c = 0 \), we can isolate \( a + b \):
\[ a + b = -c \]

3. **Taking the Magnitude**:
- Now, we need to find the magnitude of \( a + b \):
\[ |a + b| = |-c| \]
- Since the magnitude of a vector is always positive, we have:
\[ |a + b| = |c| \]

4. **Substituting the Magnitude of c**:
- We know from the problem that \( |c| = 7 \):
\[ |a + b| = 7 \]

5. **Final Answer**:
- Therefore, the value of \( |a + b| \) is:
\[ |a + b| = 7 \]

### Summary:
The final answer is \( |a + b| = 7 \).