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Scalars & Vectors

Resolution of Vectors

1(current)

Q. No.

Q1:

If \(\left| \vec{A}\right|\) = \(2\) and \(\left| \vec{B}\right|\) = \(4,\) 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) \(\left\| \vec{A}\times \vec{B}\right\|\) \(=0\)	(p) \(\theta=30^\circ\)
(B)\(\left\| \vec{A}\times \vec{B}\right\|\)\(=8\)	(q) \(\theta=45^\circ\)
(C) \(\left\| \vec{A}\times \vec{B}\right\|\) \(=4\)	(r) \(\theta=90^\circ\)
(D) \(\left\| \vec{A}\times \vec{B}\right\|\) \(=4\sqrt2\)	(s) \(\theta=0^\circ\)

1.	A(s), B(r), C(q), D(p)
2.	A(s), B(p), C(r), D(q)
3.	A(s), B(p), C(q), D(r)
4.	A(s), B(r), C(p), D(q)

Subtopic: Vector Product |

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Q2:

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. \(180^{\circ}\)