Question

state any three properties of vector product of two vectors​

Answer 1

Properties of Dot Product of vectors

The dot product of two vectors is always a scalar quantity A.B = AB cos(theta) scalar

Dot product of two vectors is commutative A.B = B.A

Dot product of same unit vectors i.i = j.j = k.k = 1 and that of different unit vectors is zero i.e i.j = j.k = k.i = ०

Properties of cross Product of vectors

The cross product of two vectors is always a vector quantity A cross B = AB sin(theta) vector

cross product of two vectors is not commutative A cross B is not equal to B cross A

cross product of same unit vectors i cross i = j cross j = k cross k = 0 and that of different unit vectors depend on the orientation i cross j = k, j cross k = i, and k cross i = j and will be in minus when taken in reverse direction