Question

If \( a \), \( b \), and \( c \) are three non-coplanar vectors and \( p, q, r \) are reciprocal vectors, then \( (p + q + r) \) is equal to?

• A. \( (p^3 + m^3 + n^3) \)
• B. \( [r + p + q] \)
• C. \( p^3 + q^3 + r^3 \)
• D. None of these

Hint:

For non-coplanar vectors, use vector identities to simplify expressions involving reciprocal vectors.

Answer 1

The Correct Option is C

By applying vector and reciprocal vector properties, we find that \( p^3 + q^3 + r^3 \) is the correct expression.