If four distinct points with position vectors a,b,c,d are coplanar, then.| Vector Algebra | JEE Main

If four distinct points with position vectors a,b,c,d are coplanar, then which of the following is true?
1. [a b c]=[d c a]+[b d a]+[c d b]
2. [a b c]=[d b a]+[a c d]+[d b c]
3. [a b c]=[a d b]+[d c a]+[d b c]
4. [a b c]=[b c d]+[d a c]+[d b a]
In this video, we dive into an interesting vector problem where four distinct points, represented by position vectors a, b, c, d are coplanar. We explore the scalar triple product and show how [a b c] is equal to the sum of three specific scalar triple products. By the end of this video, you'll have a clear understanding of how to approach vector problems involving coplanarity and triple products. Perfect for students preparing for exams or anyone interested in vector mathematics!

Watch now to master this concept and boost your vector problem-solving skills!