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Vectors cross product

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If the ratio of the dot product of two vectors and cross product of same two vectors is sqrt3 , the two vectors make angle

Two vector vecA and vecB of magnitude 50 N and 100N are inclined at an angle of 60^(@) . Calculate the magnitude of cross product and dot product of these two vectors.

The maximum magnitude of cross product of two vectors is 12 units and the maximum magnitude of their resultant is 7 units, then their minimum resultant vector will be a:

Assertion : If dot product and cross product of vec(A)andvec(B) are zero, it implies that one of the vector vec(A)andvec(B) must be a null vector. Reason: Null vector is a vector with zero mangnitude.

Assertion: If dot product and cross product of vec(A) and vec(B) are zero, it implies that one of the vector vec(A) and vec(B) must be a null vector. Reason: Null vector is a vector with zero magnitude.