Mathematics · JEE | VECTOR ALGEBRA
हिन्दीMatch List-I with List-II: List-I List-II A \( \hat{i} \times \hat{j} \) I \( \vec{0} \) B \( \hat{i} \cdot \hat{j} \) II \( \hat{k} \) C \( \hat{i} \times \hat{i} \) III 1 D \( \hat{i} \cdot \hat{i} \) IV 0 Choose the correct answer from the options given below:
Match List-I with List-II:
| List-I | List-II | ||
|---|---|---|---|
| A | \( \hat{i} \times \hat{j} \) | I | \( \vec{0} \) |
| B | \( \hat{i} \cdot \hat{j} \) | II | \( \hat{k} \) |
| C | \( \hat{i} \times \hat{i} \) | III | 1 |
| D | \( \hat{i} \cdot \hat{i} \) | IV | 0 |
Choose the correct answer from the options given below:
View Answer & Solution
Correct answer · Option D
A-(II), B-(IV), C-(I), D-(III)
Explanation
By fundamental vector definitions: \( \hat{i}\times\hat{j}=\hat{k} \), \( \hat{i}\cdot\hat{j}=0 \), \( \hat{i}\times\hat{i}=\vec{0} \), and \( \hat{i}\cdot\hat{i}=1 \).