Problems and solutions
- Find the derivative of the product between a scalar function and a vector function using the product formula.
- Find the volume of an irregular solid using triple integration, the first integral should have at least one limit with variables.
- Determine the moment of inertia of an irregular solid using triple integration. the first integral should have at least one limit with variables.
- Find the angle between two lines using dot product. the two lines should not pass through zero.
- Determine the work done (line integral) in a close path using two methods. The path should contain a curve and a line. the line should not pass through (0,0). The first method should be by using directly the formula [integral of (F dr)] and the second method using Green’s Theorem. Give your own vector field function F. F should be of the form
- Discuss a practical application of the cross product (vectors)