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For a position vector r = xi+yj+zk | Prove that - r^n r = ( n+3 ) r^n | Bhagvati classes • Hi • I am Bhagvati Kashyap. Welcome to Bhagvati Classes! Our channel is dedicated to providing high-quality educational content for students. From exam preparation to skill-building, we've got you covered. Subscribe now and join our community of learners! • ✅ About this video • Video Description: • Welcome to our mind-blowing math video where we delve into an incredible vector identity! In this video, we will prove the fascinating relationship between the position vector r and its exponentiation. • We start with the position vector r = xi + yj + zk, where i, j, and k represent the unit vectors in the x, y, and z directions, respectively. Our goal is to prove that -r^n * r = (n + 3) * r^n. • By raising r to the power of n, we obtain r^n = (xi + yj + zk)^n. To simplify the proof, we expand this expression using the binomial theorem and manipulate the resulting terms. • Through careful algebraic manipulation and vector arithmetic, we will demonstrate that -r^n * r is equal to (n + 3) * r^n. This identity holds true for any value of n, making it a profound and remarkable relationship. • Join us on this exciting mathematical journey as we explore the intricacies of vector algebra and unravel the beauty of this equation. Prepare to be amazed by the elegance and power of mathematics! • So, don't miss out on this mind-bending math adventure! Watch the video now and deepen your understanding of vector identities. Like, share, and subscribe to our channel for more captivating math content. Let's unlock the secrets of the -r^n * r = (n + 3) * r^n equation together! • Video🎥 playlist - • 🏫 Class 10th - • Class 10th Maths • The matrix in Hindi - • Matrix In Hindi • • Tricks - • TricK • • M.Sc.Physics-1st sem - • M.Sc.Physics-1st sem (Mathematical Me... • • Statistical Mechanics - • Statistical Mechanics • • Quantum Mechanics - • Quantum Mechanics • • Digital Electronics - • Digital Electronics • • MSc Physics - • MSc Physics • • Solving Questions - • Solving Questions • 🔍 follow us - • Youtube - / bhagvaticlasses • Facebook - / bhagvaticlasses123 • Instagram - / bhagvatikashyap123 • 💰Donation upi - bhagvatikashyap23@okicici • 🔍Searches. • 1. Eureka Moment: Unlocking the Mystery of -r^n * r = (n+3) * r^n in Vector Algebra! • 2. Vector Magic Unveiled: -r^n * r = (n+3) * r^n Explained with Proof! • 3. Top 10 Vector Algebra Marvels: Proving -r^n * r = (n+3) * r^n! • 4. Mind-Blowing Vector Identity: Demystifying -r^n * r = (n+3) * r^n with 10 Proofs! • 5. The Power of Vectors: Unraveling -r^n * r = (n+3) * r^n through 10 Astonishing Proofs! • 6. Journey into Vector Mathematics: Revealing the Truth behind -r^n * r = (n+3) * r^n in 10 Steps! • 7. Mathematical Wonders: Witness the Proof of -r^n * r = (n+3) * r^n in 10 Mind-Blowing Examples! • 8. Vector Algebra Decoded: Cracking the Code of -r^n * r = (n+3) * r^n with 10 Compelling Proofs! • 9. Exploring Vector Mysteries: 10 Proofs Unveiling -r^n * r = (n+3) * r^n! • 10. Astonishing Vector Equation: Understanding -r^n * r = (n+3) * r^n through 10 Eye-Opening Proofs! • #bhagvaticlasses #VectorProofs #VectorAlgebra #Mathematics #PositionVector #VectorIdentity #MathProofs #MathematicalEquations #VectorManipulation #BinomialTheorem #MathematicalProofs • ©Thanks for watching all viewers and subscribers 🙃
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