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  2. IISER Aptitude Test - Wikipedia

    en.wikipedia.org/wiki/IISER_Aptitude_Test

    IAT consists of 60 questions: 15 questions each from Biology, Chemistry, Mathematics, and Physics. Total time for answering the test is 3 hours. Questions are of multiple choice type with only one correct answer. Each correct answer is awarded 4 marks. Each incorrect answer leads to the deduction of 1 mark. Unanswered questions are awarded 0 mark.

  3. Vector (mathematics and physics) - Wikipedia

    en.wikipedia.org/wiki/Vector_(mathematics_and...

    In mathematics and physics, a vector space (also called a linear space) is a set whose elements, often called vectors, can be added together and multiplied ("scaled") by numbers called scalars. The operations of vector addition and scalar multiplication must satisfy certain requirements, called vector axioms .

  4. Vectorization (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Vectorization_(mathematics)

    Vectorization is used in matrix calculus and its applications in establishing e.g., moments of random vectors and matrices, asymptotics, as well as Jacobian and Hessian matrices. [5] It is also used in local sensitivity and statistical diagnostics.

  5. Vector space - Wikipedia

    en.wikipedia.org/wiki/Vector_space

    In mathematics and physics, a vector space (also called a linear space) is a set whose elements, often called vectors, can be added together and multiplied ("scaled") by numbers called scalars. The operations of vector addition and scalar multiplication must satisfy certain requirements, called vector axioms.

  6. Vector projection - Wikipedia

    en.wikipedia.org/wiki/Vector_projection

    Since the notions of vector length and angle between vectors can be generalized to any n-dimensional inner product space, this is also true for the notions of orthogonal projection of a vector, projection of a vector onto another, and rejection of a vector from another. In some cases, the inner product coincides with the dot product.

  7. Lami's theorem - Wikipedia

    en.wikipedia.org/wiki/Lami's_theorem

    In physics, Lami's theorem is an equation relating the magnitudes of three coplanar, concurrent and non-collinear vectors, which keeps an object in static equilibrium, with the angles directly opposite to the corresponding vectors.

  8. Vector field - Wikipedia

    en.wikipedia.org/wiki/Vector_field

    Given a subset S of R n, a vector field is represented by a vector-valued function V: S → R n in standard Cartesian coordinates (x 1, …, x n).If each component of V is continuous, then V is a continuous vector field.

  9. Vector calculus - Wikipedia

    en.wikipedia.org/wiki/Vector_calculus

    Vector calculus or vector analysis is a branch of mathematics concerned with the differentiation and integration of vector fields, primarily in three-dimensional Euclidean space, . [1] The term vector calculus is sometimes used as a synonym for the broader subject of multivariable calculus, which spans vector calculus as well as partial differentiation and multiple integration.