Scalar / Dot product between vectors | Ch # 03 | kpk New course| Lec # 06 | FSC part 1 Math скачать в хорошем качестве

Scalar / Dot product between vectors | Ch # 03 | kpk New course| Lec # 06 | FSC part 1 Math

Scalar / Dot product between vectors | Ch # 03 | kpk New course | Lec # 06 | FSC part 1 Math --------------------------------------------------------------------- In this video we are going to discussed the dot and scalar product between vectors. The main components of this video are: 1) Dot / Scalar product 2) Immediate consequence of the definition of dot product 3) Dot product between Parallel vectors 4) Dot product between antiparallel vectors 5) Dot product between perpendicular vectors 6) Scalar / Dot product between unit vectors 7) Commutative / distributive properties of dot product 8) Direction angles or Direction cosines 9) Prove that cos²(alpha)+cos²(beta)+cos²(gamma)=1 10) Prove that sin²(alpha)+sin²(beta)+sin²(gamma)=2 11) Direction number or Direction ratios 12) Angle between two Vectors --------------------------------------------------------------------- #Vectors #DotProductBetweenTwoVectors #PositionVector #RatioTheorem #DirectionCosines #DirectionAngles #AngleBetweenVectors #ModulusofVector #ParallelVector #CalculusandMathematicslearning --------------------------------------------------------------------- chapters for this video: 00:00 (Introduction) 00:26 (Dot or Scalar product) 01:29 (Immediate consequence of the definition of dot product) 01:36 (Dot product between Parallel vectors) 02:17 (Dot product between antiparallel vectors) 03:04 (Dot product between perpendicular vectors) 04:04 (Scalar / Dot product between unit vectors) 09:02 (Commutative / distributive properties of dot product) 11:48 (Direction angles or Direction cosines) 15:10 (Important Prove that cos²(alpha)+cos²(beta)+cos²(gamma)=1) 16:39 (Prove that sin²(alpha)+sin²(beta)+sin²(gamma)=2) 18:35 (Direction number or Direction ratios) 20:00 (Angle between two Vectors) --------------------------------------------------------------------- Direction cosines Direction number Direction ratio Direction angles Dot product between unit vectors Commutative properties of dot product distributive properties of dot product kpk New course Angle between two Vectors FSC part 1 mathematics Class 11 math first year math FSC math part 1 KPK New course vectors immediate consequence of the definition of dot product Dot product scalar product Ch # 03 vectors --------------------------------------------------------------------- for complete playlist of this chapter 03 "Vectors" click on the below link:    • Vector , FSC math part 1 New course (Ch # 03)   ---------------------------------------------------------------------