📐 Mathematics · Vector Algebra · JEE

In the reciprocal system, if a_prime = (b x c)/[abc], then a . a_prime =

Answer: 1.

Correct answer: D. 1

Explanation: By definition of reciprocal vectors: a.a_prime = 1, a.b_prime = 0, a.c_prime = 0. The reciprocal system is the dual basis.

Triangle law of vector addition: placing vector b at the head of vector a, the diagonal from the start to the final head gives the resultant a + b.

Concept context

Vectors, dot product, cross product, and geometric applications