The Learning Point‎ > ‎Mathematics‎ > ‎

### Vector Differential And Integral Calculus: Solved Problem Sets - Differentiation of Vectors, Div, Curl, Grad; Green’s theorem; Divergence theorem of Gauss, etc. #### Introduction to VectorsVectors: Introductory Problems and Examples Applying Vectors to Geometric ProblemsVector Applications in 2D and 3D GeometryVector Differential And Integral Calculus: Theory and DefinitionsVector Differential And Integral Calculus: Solved Problem Sets

------------xxxx------------

Vector Differential And Integral Calculus: Solved Problems

#### We take a look at a few problems based on Vector differential and Integral Calculus.

Here are a few of the problems

1. A projectile is moving with constant speed along a meridian of the rotating earth in Figure. Find its acceleration.

2. Show that work done equals the gain in kinetic energy.

3. Find the area of ellipse x2222

4. Evaluate , where C is the circle x22F33i3j3k

5. Find the work done by the force F3i22j23k22

You will apply concepts related to Vector Differential and Integral calculus, differentiation of Vectors, Div, Curl, Grad;  Green’s theorem in the plane; Divergence theorem of Gauss, etc.

Tutorial with Solved Problems :

In case you're interested in learning more about Vectors, here's the full set of tutorials we have :

 Vectors 1a ( Theory and Definitions: Introduction to Vectors; Vector, Scalar and Triple Products) Vectors 1b ( Solved Problem Sets: Introduction to Vectors; Vector, Scalar and Triple Products ) Vectors 2a ( Theory and Definitions: Vectors and Geometry ) Vectors and geometry. Parametric vectorial equations of lines and planes. Angles between lines and planes. Co-planar and collinear points. Cartesian equations for lines and planes in 3D. Vectors 2b ( Solved Problem Sets: Vectors and Geometry ) Vectors 3a ( Theory and Definitions: Vector Differential and Integral Calculus ) Vectors 3b ( Solved Problem Sets: Vector Differential and Integral Calculus )