Design and Analysis of Algorithms MCQs | Page - 6

 we can find the cross product of the given vectors by solving the determinant.

 the given vectors are parallel to each other. the cross product of parallel vectors is 0 because sin(0) is 0.

 the resultant vector from the cross product of two vectors is perpendicular to the plane containing both vectors. so both a x b and b x a will give a vector that is perpendicular to both vectors a and b.

 quick hull is a method of

 the other name for quick hull problem is convex hull problem whereas the closest pair problem is the problem of finding the closest distance between two points.

 most commonly, two approaches are adopted to solve quick hull problem- brute force approach and divide and conquer approach.

 the average case complexity of quickhull algorithm using divide and conquer approach is mathematically found to be o(n log n).

 the worst case complexity of quickhull algorithm using divide and conquer approach is mathematically found to be o(n2).

 the above diagram is a depiction of convex hull, also known as quick hull, since it encloses n points into a convex polygon.

 finding the shortest distance between two points belongs to closest pair algorithm while the rest is quickhull.