LIST I | LIST II | ||
A. | \(|\vec{A}+\vec{B}|=|\vec{A}-\vec{B}|\) | I. | 45° |
B. | \(|\vec{A}\times\vec{B}|=\vec{A}.\vec{B}\) | II. | 30° |
C. | \(|\vec{A}.\vec{B}|=\frac{AB}{2}\) | III. | 90° |
D. | \(|\vec{A}\times\vec{B}|=\frac{AB}{2}\) | IV. | 60° |
The respective values of \( |\vec{a}| \) and} \( |\vec{b}| \), if given \[ (\vec{a} - \vec{b}) \cdot (\vec{a} + \vec{b}) = 512 \quad \text{and} \quad |\vec{a}| = 3 |\vec{b}|, \] are: