Three vectors ā, b̄, c̄ are coplanar iff their SCALAR TRIPLE PRODUCT [ā b̄ c̄] equals:
A|ā||b̄||c̄|
B0
C-1
D1
Answer & Solution
Correct answer: B. 0
Scalar triple product [ā b̄ c̄] = (ā × b̄)·c̄ = volume of parallelepiped. If volume is zero, vectors are coplanar (lie in same plane). So [ā b̄ c̄] = 0 ⟺ coplanar.
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