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Parallel plane segments with the same orientation and area corresponding to the same bivector a ∧ b. [1] In mathematics, a bivector or 2-vector is a quantity in exterior algebra or geometric algebra that extends the idea of scalars and vectors. Considering a scalar as a degree-zero quantity and a vector as a degree-one quantity, a bivector is ...
A bivector is an element of the antisymmetric tensor product of a tangent space with itself. In geometric algebra, also, a bivector is a grade 2 element (a 2-vector) resulting from the wedge product of two vectors, and so it is geometrically an oriented area, in the same way a vector is an oriented line segment.
Matthew 2:8 is the eighth verse of the second chapter of the Gospel of Matthew in the New Testament. The magi have informed King Herod that they had seen portents showing the birth of the King of the Jews. After consulting with the leading Jewish religious figures Herod sends the magi to find the infant.
The Blue Letter Bible (BLB) project is an initiative of Sowing Circle, a United States–based, non-denominational Christian ministry that has created a study Bible and Bible study tools stated to "make reading, searching and studying the Bible easy and rewarding". [1]
A two-vector or bivector [1] is a tensor of type () and it is the dual of a two-form, meaning that it is a linear functional which maps two-forms to the real numbers (or more generally, to scalars). The tensor product of a pair of vectors is a two-vector. Then, any two-form can be expressed as a linear combination of tensor products of pairs of ...
Since the mid-16th century, editors have further subdivided each chapter into verses – each consisting of a few short lines or of one or more sentences. Sometimes a sentence spans more than one verse, as in the case of Ephesians 2:8–9, and sometimes there is more than one sentence in a single verse, as in the case of Genesis 1:2.
Mark 8 is the eighth chapter of the Gospel of Mark in the New Testament of the Christian Bible. It contains two miracles of Jesus , Peter's confession that he believes Jesus is the Messiah , and Jesus' first prediction of his own death and resurrection .