If \(|\vec{A}|=2\) and \(|\vec{B}|=4\), then match the relations in column-I with the angle \(\theta\) between \(\vec{A}\) and \(\vec{B}\) in column-II.

Column-I Column-II
(a) \(\vec{A}.\vec{B}=0\) (i) \(\theta=0^{\circ}\)
(b) \(\vec{A}.\vec{B}=8\) (ii) \(\theta=90^{\circ}\)
(c) \(\vec{A}.\vec{B}=4\) (iii) \(\theta=180^{\circ}\)
(d) \(\vec{A}.\vec{B}=-8\) (iv) \(\theta=60^{\circ}\)

Choose the correct answer from the options given below:

1. (a)–(iii), (b)-(ii), (c)-(i), (d)-(iv)
2. (a)–(ii), (b)-(i), (c)-(iv), (d)-(iii)
3. (a)–(ii), (b)-(iv), (c)-(iii), (d)-(i)
4. (a)–(iii), (b)-(i), (c)-(ii), (d)-(iv)
Subtopic:  Scalar Product |
 88%
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The angle between \(\mathrm{A}=\hat{\mathbf{i}}+\hat{\mathbf{j}}\) and \(\mathrm{B}=\hat{\mathbf{i}}-\hat{\mathbf{j}}\) is:
1. \(45^{\circ} \)
2. \(90^{\circ} \)
3. \(-45^{\circ} \)
4. \(180^{\circ}\)
Subtopic:  Scalar Product |
 78%
From NCERT
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