Maths Volume-12 (Vector Algebra)



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Contents

Synopsis of vectors - I


Description: Overview of basic concepts of vectors, their properties, and representation in physics and mathematics.


Synopsis of vectors - II


Description: Continuation of vector concepts, covering operations like addition, subtraction, and scalar multiplication.


Synopsis of vectors - III


Description: Introduction to vector applications in physics, including forces, velocity, and acceleration in 3D space.


Synopsis of vectors - IV


Description: Advanced vector operations such as triple products, cross products, and applications in various fields.


Introduction to vectors


Description: Vectors are quantities with magnitude and direction, used to describe physical phenomena like motion.


Scalar or dot product - I


Description: A mathematical operation between two vectors yielding a scalar value, representing their directional relationship.


Scalar or dot product - II


Description: Same as the previous definition, used to calculate work or energy in physics.


Vector or cross product - I


Description: Operation between two vectors that results in a third vector, perpendicular to the initial vectors.


Vector or cross product - II


Description: Same as the previous definition, used to find torque or angular momentum in physics.


Scalar triple product - I


Description: A scalar value resulting from the dot product of a vector and the cross product of two others.


Scalar triple product - II


Description: Same as the previous definition, often used to find volume of parallelepiped in geometry.


Vector triple product - I


Description: A vector operation involving the cross product of two vectors followed by the cross product with a third.


Vector triple product - II


Description: Same as the previous definition, useful for determining vector components in 3D space.


Vector triple product - III


Description: Same as the previous definition, helps in resolving vectors in mechanical and electrical systems.


Vector triple product - IV


Description: Same as the previous definition, applied in fluid dynamics and electromagnetism for field calculations.


Revisal problems JEE main - I


Description: Practice problems for JEE Main to review important vector concepts and improve problem-solving skills.


Revisal problems JEE main - II


Description: Additional JEE Main problems focused on vectors, helping reinforce knowledge and enhance exam readiness.


JEE main & AIEEE archive


Description: Collection of past exam papers from JEE Main and AIEEE, useful for practice and preparation.


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