If `| vec a|=sqrt(26),\ | vec b|=7\ a n d\ | vec axx vec b|=35 ,\ fin d\ vec adot vec bdot`

Explanation

To solve the problem, we need to find the dot product \( \vec{a} \cdot \vec{b} \) given the magnitudes of the vectors and the magnitude of their cross product.

### Step-by-Step Solution:

1. **Given Values**:
- \( |\vec{a}| = \sqrt{26} \)
- \( |\vec{b}| = 7 \)
- \( |\vec{a} \times \vec{b}| = 35 \)
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