Physics · MOTION IN A PLANE
हिन्दीMatch List-I with List-II: List-I List-II A \( \mathbf{A} + \mathbf{B} = \mathbf{B} + \mathbf{A} \) I Null vector B \( (\mathbf{A} + \mathbf{B}) + \mathbf{C} = \mathbf{A} + (\mathbf{B} + \mathbf{C}) \) II Vector scaled in same direction C \( \mathbf{A} + (-\mathbf{A}) = \mathbf{0} \) III Commutative law of vector addition D \( \lambda \mathbf{A} \) (where \( \lambda > 0 \)) IV Associative law of vector addition Choose the correct answer from the options given below:
Match List-I with List-II:
| List-I | List-II | ||
|---|---|---|---|
| A | \( \mathbf{A} + \mathbf{B} = \mathbf{B} + \mathbf{A} \) | I | Null vector |
| B | \( (\mathbf{A} + \mathbf{B}) + \mathbf{C} = \mathbf{A} + (\mathbf{B} + \mathbf{C}) \) | II | Vector scaled in same direction |
| C | \( \mathbf{A} + (-\mathbf{A}) = \mathbf{0} \) | III | Commutative law of vector addition |
| D | \( \lambda \mathbf{A} \) (where \( \lambda > 0 \)) | IV | Associative law of vector addition |
Choose the correct answer from the options given below:
View Answer & Solution
Correct answer · Option C
A-(III), B-(IV), C-(I), D-(II)
Explanation
Vector addition is commutative (A+B=B+A) and associative ((A+B)+C=A+(B+C)). The sum of a vector and its negative gives a null vector, and multiplying by a positive scalar scales its magnitude in the same direction.