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a×b = |i^j^k^4−20350| = k^(4×5−(−2)×3) = k^(20+6) = 26k^. Direction is along the positive z-axis (k^). As per NCERT, applying relevant law/formula with correct units and sign convention leads to k^. This satisfies dimensional consistency and physical conditions given, so option D is scientifically correct.
Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.
The right-hand rule provides a consistent method to determine the direction of the resulting vector (e.g., a×b), ensuring it is perpendicular to the plane of the two vectors in a direction based on their relative orientation.
Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.
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