Question

The maximum magnitude of cross product of two vectors of fixed
magnitudes but variable directions is 12 units and the maximum
magnitude of their resultant is 7 units. Then their minimum resultant
vector will be a
(A) unit vector
(B) null vector
(C) vector of magnitude between a and b
(D) nothing can be said​

Answer 1

Minimum resultant  vector

Explanation:

• A vector is defined by its magnitude and direction, so a vector are often changed by changing its magnitude and direction. If we rotate it through an angle, its direction changes and that we can say that the vector has changed.
• The conditions for the resultant of two vectors to be minimum depends on the vector operation.
• If the operation is addition, the most would be obtained when the directions of both the vectors is that the same.
• If the operation is that the inner product, then too, the most would be obtained when the directions of both the vectors is that the same.
• If the operation is that the vector, the most would be obtained when the both vectors are perpendicular to every other.

Therefore, the resultant vector will be a unit vector