Question:
Match List-I and List-II
LIST I LIST II A. \(|\vec{A}+\vec{B}|=|\vec{A}-\vec{B}|\) I. 45° B. \(|\vec{A}\times\vec{B}|=\vec{A}.\vec{B}\) II. 30° C. \(|\vec{A}.\vec{B}|=\frac{AB}{2}\) III. 90° D. \(|\vec{A}\times\vec{B}|=\frac{AB}{2}\) IV. 60°
Choose the correct answer from the options given below:
Match List-I and List-II
Choose the correct answer from the options given below:
| LIST I | LIST II | ||
| A. | \(|\vec{A}+\vec{B}|=|\vec{A}-\vec{B}|\) | I. | 45° |
| B. | \(|\vec{A}\times\vec{B}|=\vec{A}.\vec{B}\) | II. | 30° |
| C. | \(|\vec{A}.\vec{B}|=\frac{AB}{2}\) | III. | 90° |
| D. | \(|\vec{A}\times\vec{B}|=\frac{AB}{2}\) | IV. | 60° |
Choose the correct answer from the options given below:
Updated On: Mar 12, 2025
- A-III, B-I, C-IV, D-II
- A-III, B-II, C-IV, D-IV
- A-III, B-I, C-II, D-IV
- A-II, B-I, C-III, D-IV
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
The correct answer is(A): A-III, B-I, C-IV, D-II
Was this answer helpful?
0
0
Top Questions on Vectors
- Let \( \vec{a} = \hat{i} + 2\hat{j} + 3\hat{k}, \, \vec{b} = 3\hat{i} + \hat{j} - \hat{k} \) and \( \vec{c} \) be three vectors such that \( \vec{c} \) is coplanar with \( \vec{a} \) and \( \vec{b} \). If the vector \( \vec{c} \) is perpendicular to \( \vec{b} \) and \( \vec{a} \cdot \vec{c} = 5 \), then \( |\vec{c}| \) is equal to:
- Let \(\vec{a} = i + j + k\), \(\vec{b} = 2i + 2j + k\) and \(\vec{d} = \vec{a} \times \vec{b}\). If \(\vec{c}\) is a vector such that \(\vec{a} \cdot \vec{c} = |\vec{c}|\), \(\|\vec{c} - 2\vec{d}\| = 8\) and the angle between \(\vec{d}\) and \(\vec{c}\) is \(\frac{\pi}{4}\), then \(\left|10 - 3\vec{b} \cdot \vec{c} + |\vec{d}|\right|^2\) is equal to:
- If the components of \( \vec{a} = \alpha \hat{i} + \beta \hat{j} + \gamma \hat{k} \) along and perpendicular to \( \vec{b} = 3\hat{i} + \hat{j} - \hat{k} \) respectively are \( \frac{16}{11} (3\hat{i} + \hat{j} - \hat{k}) \) and \( \frac{1}{11} (-4\hat{i} - 5\hat{j} - 17\hat{k}) \), then \( \alpha^2 + \beta^2 + \gamma^2 \) is equal to:
- Number of functions \( f: \{1, 2, \dots, 100\} \to \{0, 1\} \), that assign 1 to exactly one of the positive integers less than or equal to 98, is equal to:
- Let \(\vec{a} = i + j + k\), \(\vec{b} = 2i + 2j + k\) and \(\vec{d} = \vec{a} \times \vec{b}\). If \(\vec{c}\) is a vector such that \(\vec{a} \cdot \vec{c} = |\vec{c}|\), \(\|\vec{c} - 2\vec{d}\| = 8\) and the angle between \(\vec{d}\) and \(\vec{c}\) is \(\frac{\pi}{4}\), then \(\left|10 - 3\vec{b} \cdot \vec{c} + |\vec{d}|\right|^2\) is equal to:
View More Questions
Questions Asked in CUET PG exam
- What is the correct verb form: He, as well as his friends, ?
- Which preposition is correct: Chanakya lived ?
- CUET (PG) - 2025
- Prepositions
- Identify the possessive noun: My office car is parked elsewhere.
- Which tense is appropriate: How did Saira ?
- Complete the sentence: There is a growing synthesis between humanism and ?
- CUET (PG) - 2025
- Sentence Completion
View More Questions