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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

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