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Question

Does cross product give normal vector?


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Solution

Cross product:

  1. Cross product is a binary operation on two vectors in three-dimensional space. It results in a vector that is perpendicular to both vectors.
  2. The vector product of two vectors, a and b, is denoted by a × b.
  3. Its resultant vector is perpendicular to a and b.
  4. Vector products are also called cross products.
  5. Cross product of two vectors will give the resultant a vector and calculated using the Right-hand Rule.

If θ is the angle between the given two vectors A and B, then the formula for the cross product of vectors is given by:

|A × B| = |A| |B| sin θ , where |A| and |B| are the magnitudes of vector A and B respectively.

Thus, yes the cross product gives a normal vector.


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