Cross Product of Unit Vectors Cross product of unit vectors Let î, ĵ and ƙ be the unit vectors along the three co-ordinate axes X, Y and Z respectively which…
Determination of Work by Variable Force using Integral Calculus Determination of work by variable force using integral calculus: Suppose, a variable force is acting along x-axis on a body. Magnitude of the force depends…
Vector Calculus Vector Calculus Calculus: In scientific language calculus is a discipline of calculating continuously variable and exceedingly small fraction. In current mathematics it is a vital…
Calculus in Physics Calculus in Physics Calculus is the mathematical study of change. It has two important branches—differential calculus and integral calculus. Scientist Newton was the first to…
Vector or Cross Product Vector or Cross product If the product of two vectors is a vector quantity, then that product is called vector or cross product. The magnitude…
Right Handed Screw Rule Right handed screw rule: By keeping a right handed screw on the plane that contains the two vectors and if the first vector is rotated…
Scalar or Dot Product Scalar or Dot Product The scalar or dot product of two vectors is a scalar quantity equal to the product of the magnitudes of the…
Multiplication of Unit Vectors Multiplication of unit vectors Multiplication of a vector by a scalar changes the magnitude of the vector, but leaves its direction unchanged. Geometrically, the dot…
Representation of Vector by Unit Vector or with Components Representation of vector by unit vector or with components When a vector is represented graphically, its magnitude is represented by the length of an arrow…
Law of Components of Vector Additions Law of components of vector additions: In any coordinate system a vector quantity can be resolved into components. Determine the resultant vector by resolving each…