2014-07-31T13:56:06+05:30
Scalar product having only magnitude, not direction. eg:- temperature. Vector product has ability to represent magnitude and direction .eg:-wind.
2014-07-31T14:59:30+05:30

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Force is a vector
Displacement is a vector.
Work done = scalar product =  force . displacement
W = Force * Displacement * cos Ф  ,  where Ф is the angle between force and displacement.
Scalar product is also :  Wx =  Force in x direction * displacement in x direction
Wy = force in y direction * displacement in y direction
W = Wx + Wy

vector torque = R X F = cross product of displacement (distance) R of vector F force from origin.
Torque =  R F sin Ф  where Ф is angle between R and F. (from R to F)
Vector product is a vector which has direction =  perpendicular to R as well as to F.  This is given by thumb rule or curled fingers rule.  Toque is perpendicular to plane containing both R & F.

Let i j k be unit vectors along x, y , z axes.
F = Fx i  + Fy  j
S = x i + y j
W = dot product =  F . S =  Fx * x  +  Fy *  y
vector product is =  F X S =  Fx * y  k  -  Fy * x  k
i . i = 1    i.j =0  i.k = 0      j.j = 1
i X i  =0    j  X j = 0