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GUJCET · Maths · Vector Algebra
The value of \(\hat{i} \cdot (\hat{k} \times \hat{j}) + \hat{j} \cdot (\hat{k} \times \hat{i}) + \hat{k} \cdot (\hat{j} \times \hat{i})\) is ________.
- A -1
- B 0
- C 1
- D 3
Answer & Solution
Correct Answer
(A) -1
Step-by-step Solution
Detailed explanation
\( \hat{i} \cdot (\hat{k} \times \hat{j}) = [\hat{i}, \hat{k}, \hat{j}] = -[\hat{i}, \hat{j}, \hat{k}] = -1 \) \( \hat{j} \cdot (\hat{k} \times \hat{i}) = [\hat{j}, \hat{k}, \hat{i}] = [\hat{i}, \hat{j}, \hat{k}] = 1 \)
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