Match List I with List II
| LIST I | LIST II | ||
| A. | For any vector $\vec{a}, \vec{a}×\vec{a}$ | I. | $\vec{a}^2$ |
| B. | For any vector $\vec{a}, \vec{a}.\vec{a}$ | II. | 0 |
| C. | If either $\vec{a}=\vec{0}$ or $\vec{b}=\vec{0},$ then $\vec{a}.\vec{b}$ is | III. | $|\vec{a}||\vec{b}|$ |
| D. | If the angle between $\vec{a}$ and $\vec{b}$ is $\theta =0, $ then $\vec{a}.\vec{b}$ is | IV. | $\vec{0}$ |
Choose the
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → A-IV, B-I,C-II,D-III
(A) for $\vec a$, $\vec a×\vec a=a.a\sin 0=\vec 0$ (IV)
(B) $\vec a.\vec a=a^2\cos 0=\vec{a^2}$ (I)
(C) $\vec a=0,\vec b= 0⇒\vec a.\vec b=0$ (II)
(D) $\vec a.\vec b=ab\cos 0=|\vec a||\vec b|$ (III)