Select Chapter Topics:

The figure shows the orientation of two vectors \(u\) and \(v\) in the XY plane.

If \(u=a\hat{i}+b\hat{j}\) and \(v=p\hat{i}+q\hat{j}\).

Which of the following is correct?

1. | \(a\) and \(p\) are positive while \(b\) and \(q\) are negative. |

2. | \(a,\) \(p\) and \(b\) are positive while \(q\) is negative. |

3. | \(a,\) \(q\) and \(b\) are positive while \(p\) is negative. |

4. | \(a,\) \(b,\) \(p\) and \(q\) are all positive. |

Subtopic: Resolution of Vectors |

63%

From NCERT

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

Hints

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

The component of a vector **\(\vec{r}\)** along the X-axis will have maximum value if:

1. | \(\vec{r}\) is along the positive Y-axis. |

2. | \(\vec{r}\) is along the positive X-axis. |

3. | \(\vec{r}\) makes an angle of \(45^\circ\) with the X-axis. |

4. | \(\vec{r}\) is along the negative Y-axis. |

Subtopic: Resolution of Vectors |

68%

From NCERT

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

Hints

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

Consider the quantities of pressure, power, energy, impulse, gravitational potential, electric charge, temperature, and area. Out of these, the only vector quantities are:

1. | impulse, pressure, and area |

2. | impulse and area |

3. | area and gravitational potential |

4. | impulse and pressure |

Subtopic: Scalars & Vectors |

From NCERT

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

Hints

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

Three vectors A, B, and C add up to zero. Then:

1. | vector (A×B)×C is not zero unless vectors B and C are parallel. |

2. | vector (A×B).C is not zero unless vectors B and C are parallel. |

3. | if vectors A, B and C define a plane, (A×B)×C is in that plane. |

4. | (A×B).C = |A||B||C| → C^{2} = A^{2} + B^{2} |

The incorrect statement/s is/are:

1. (b, d)

2. (a, c)

3. (b, c, d)

4. (a, b)

Subtopic: Vector Product |

From NCERT

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

Hints

Links

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

It is found that \(|\vec{A}+\vec{B}|=|\vec{A}|\). This necessarily implies:

1. | \(\vec{B}=0\) |

2. | \(\vec{A},\) \(\vec{B}\) are antiparallel |

3. | \(\vec{A}\) and \(\vec{B}\) are perpendicular |

4. | \(\vec{A}.\vec{B}\leq0\) |

Subtopic: Scalar Product |

From NCERT

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

Hints

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

Given below in Column-I are the relations between vectors \(a,\) \(b,\) and \(c\) and in Column-II are the orientations of \(a,\) \(b,\) and \(c\) in the XY-plane. Match the relation in Column-I to the correct orientations in Column-II.

Column-I | Column-II | ||

a | \(a + b = c\) | (i) | |

b | \(a- c = b\) | (ii) | |

c | \(b - a = c\) | (iii) | |

d | \(a + b + c = 0\) | (iv) |

1. | a(ii), b (iv), c(iii), d(i) |

2. | a(i), b (iii), c(iv), d(ii) |

3. | a(iv), b (iii), c(i), d(ii) |

4. | a(iii), b (iv), c(i), d(ii) |

Subtopic: Resultant of Vectors |

71%

From NCERT

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

Hints

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

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%

From NCERT

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

Hints

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

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 |

87%

From NCERT

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

Hints

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

For two vectors \(\vec A\) and \(\vec B\), |\(\vec A\)+\(\vec B\)|=|\(\vec A\) - \(\vec B\)| is always true when:

(a) | \(\vec A\)| = |\(\vec B\)| ≠ \(0\) | |

(b) | \(\vec A\perp\vec B\) |

(c) | |\(\vec A\)| = |\(\vec B\)| ≠ \(0\) and \(\vec A\) and \(\vec B\) are parallel or antiparallel. |

(d) | \(\vec A\)| or |\(\vec B\)| is zero. | when either |

Choose the correct option:

1. (a), (d)

2. (b), (c)

3. (b), (d)

4. (a), (b)

Subtopic: Resultant of Vectors |

55%

From NCERT

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

Hints

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

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. \(180^{\circ}\)

1. \(45^{\circ} \)

2. \(90^{\circ} \)

3. \(-45^{\circ} \)

4. \(180^{\circ}\)

Subtopic: Scalar Product |

78%

From NCERT

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

Hints

Links

To view explanation, please take trial in the course.

NEET 2025 - Target Batch