List-I (Scientist) | List-II (Contribution) |
(A) A. Jeffreys | (I) Nuclein |
(B) Miescher | (II) Amino acid formation |
(C) J. Monod | (III) DNA fingerprinting |
(D) S.L. Miller | (IV) Transcriptionally regulated system |
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.