Question
Download Solution PDFयदि a, b, c,गैर समतलीय हैं तो 2[a b c] + [b a c] का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
- यदि a, b, c समतलीय हैं तो [a b c] = 0
- तीन वैक्टर को एक ही चक्रीय क्रम में क्रमसंचयित किया जाता है, अदिश त्रिक गुणनफल का मूल्य समान रहता है। ⇒ [a b c] = [b c a] = [c a b]
गणना:
यहाँ, a, b, c गैर समतलीय हैं
खोजना है: 2 [a b c] + [b a c] =?
⇒ 2[a b c] + [b a c]
= 2 [a, b, c] - [a, b, c] (∵ [b a c] = -[a b c])
= [a, b, c]
इसलिए, विकल्प (2) सही है।
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