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Mathematics · JEE | VECTOR ALGEBRA

हिन्दी

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:

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:

  1. A
    A-(IV), B-(II), C-(III), D-(I)
  2. B
    A-(I), B-(II), C-(III), D-(IV)
  3. C
    A-(II), B-(III), C-(I), D-(IV)
  4. D
    A-(II), B-(IV), C-(I), D-(III)
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 \( \hat{i}\cdot\hat{i}=1 \).
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