Question
Download Solution PDFIf a, b, c are non-coplanar then find the value of 2[a b c] + [b a c] =
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
- If a, b, c are coplanar then [a b c] = 0
- Three vectors are permuted in the same cyclic order, the value of the scalar triple product remains the same. ⇒ [a b c] = [b c a] = [c a b]
Calculation:
Here, a, b, c are non-coplanar
To find: 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]
Hence, option (2) is correct.
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