If x and y components of a vector `vecP` have numerical values 5 and 6 respectively and that of ` vecP + vecQ` have magnitudes 10 and 9, find the magnitude of ` vecQ`

Explanation

To solve the problem step by step, we will follow the information given in the question and apply vector addition principles.

### Step-by-Step Solution:

1. **Identify the components of vector P**:
From the question, we know that the x-component of vector \(\vec{P}\) is 5 and the y-component is 6. Therefore, we can express vector \(\vec{P}\) as:
\[
\vec{P} = 5 \hat{i} + 6 \hat{j}
...