Step 1: Identify longest chain:
6 carbon atoms → hexane
Step 2: Locate substituent:
Methyl group at C-3
Step 3: Apply IUPAC rules: \[ \text{Name: } 3-Methylhexane \] Final Answer: \[ \boxed{\text{3-Methylhexane}} \]
If \(\begin{vmatrix} 2x & 3 \\ x & -8 \\ \end{vmatrix} = 0\), then the value of \(x\) is:
Let \( \vec{a} \) and \( \vec{b} \) be two co-initial vectors forming adjacent sides of a parallelogram such that:
\[
|\vec{a}| = 10, \quad |\vec{b}| = 2, \quad \vec{a} \cdot \vec{b} = 12
\]
Find the area of the parallelogram.