**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 x^{2}^{2}^{2}^{2 }

4. Evaluate , where C is the circle x^{2}^{2}**F**^{3}^{3}**i**^{3}**j**^{3}**k**

5. Find the work done by the force** F**^{3}**i**^{2}^{2}**j**^{2}^{3}**k**^{2}^{2}

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 :**