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The vector product (cross product) of two vectors results in a vector perpendicular to the plane of the two vectors, with magnitude absinθ, and is not commutative (a×b = −b×a).
Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.
a×b = |i^j^k^230−340| = k^(2×4−3×(−3)) = k^(8+9) = 17k^. Magnitude = |a×b| = 17. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 17. This satisfies dimensional consistency and physical conditions given, so option C 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.
The vector product a×b = absinθ is zero for parallel vectors because θ = 0∘ or 180∘, making sinθ = 0. As per NCERT, applying relevant law/formula with correct units and sign convention leads to Because the angle between them is zero or 180°. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.
Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.
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