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[26] [27] Again in 2022, a new controversy started when both CBSE and NCERT removed topics regarding Islamic Empires in the class 12 history textbook and chapters like “Challenges to Democracy” in the class 10 political science subject and many others, saying it is necessary to reduce syllabus to reduce examination pressure on students by ...
In the natural sciences, a vector quantity (also known as a vector physical quantity, physical vector, or simply vector) is a vector-valued physical quantity. [9] [10] It is typically formulated as the product of a unit of measurement and a vector numerical value (), often a Euclidean vector with magnitude and direction.
The poem Sabse Khatarnak by the Hindi poet Pash was included in the NCERT textbook for 11th standard Hindi students in 2006. In 2017, the BJP government affiliated RSS tried to remove it but failed. [25] [26] The NCERT made two controversial changes to the class XII political science textbook ‘Politics in India Since Independence’ in 2017.
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.
Since these four row vectors are linearly independent, the row space is 4-dimensional. Moreover, in this case it can be seen that they are all orthogonal to the vector n = [6, −1, 4, −4, 0] ( n is an element of the kernel of J ), so it can be deduced that the row space consists of all vectors in R 5 {\displaystyle \mathbb {R} ^{5}} that are ...
If 0° ≤ θ ≤ 90°, as in this case, the scalar projection of a on b coincides with the length of the vector projection. Vector projection of a on b (a 1), and vector rejection of a from b (a 2).
The space of solutions is the affine subspace x + V where x is a particular solution of the equation, and V is the space of solutions of the homogeneous equation (the nullspace of A). The set of one-dimensional subspaces of a fixed finite-dimensional vector space V is known as projective space ; it may be used to formalize the idea of parallel ...
The three vectors spanning a parallelepiped have triple product equal to its volume. (However, beware that the direction of the arrows in this diagram are incorrect.) In exterior algebra and geometric algebra the exterior product of two vectors is a bivector, while the exterior product of three vectors is a trivector. A bivector is an oriented ...