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Vector Vocabulary

Date: _____________(Due Monday, January 23rd)
Period: ___________________________________
(419) The directed line segment whose initial point is the origin is said to be in ________ position.
(418) Two directed line segments that have the same magnitude and direction are ___________.
(418) The directed line segment PQ has _______ point P and terminal point Q.
(433) The vectors u and v are _________ if and only if u · v = 0.
(432) If θ is the angle between two nonzero vectors u and v, then ___θ = (u · v)/ (|u||v|).
(418) The set of all directed line segments that are equivalent to the directed line segment PQ is a _______ v in the plane, written v = PQ.
(419) If both the initial point and the terminal point lie at the origin, then v is the ____ vector and is denoted by 0 = <0, 0>.
(420) The two basic vector operations are scalar ___________ and vector addition.
(436) The ____ W done by a constant force F acting along the line of motion of an object is given by W = (magnitude of force)(distance).
(424) The angle θ is the __________ angle of the vector u.
(434) Let u and v be nonzero vectors. The __________ of u onto v is projv(u) = [(u · v)/|v|^2]v.
(418) Vectors are denoted by _________, boldface letters such as u, v, and w.
(418) The directed line segment PQ has initial point P and ________ point Q.
(420) The _________ of vector addition is the diagonal of a parallelogram having adjacent sides u and v and is the result of u + v.
(418) To represent quantities such as force and velocity that have both a magnitude and direction, you can use a _________ line segment.
(420) The ___________ law for vector addition is named as such because the vector u + v, often called the resultant, is the diagonal of a parallelogram having adjacent sides u and v.
(418) To find the magnitude of a vector (directed line segment), use can use the _________ Formula.
(422) Scalars have vertical and horizontal __________.
(422) The vector sume v1i + v2j is called a ______ combination of the vectors i and j.
(418) the length of a vector (directed line segment)
(434) Many applications in physics and engineering require you to decompose a given vector into the sum of two vector __________.
(420) In operations with vectors, numbers are usually referred to as _______, and they will always be real numbers.
(419) A vector whose initial point is the origin can be uniquely represented by the coordinates of its terminal point (v1, v2). This is the _________ form of a vector v, written as v = <v1, v2>.
(431) The ___ product of u = <u1, u2> and v = <v1, v2> is u · v = u1v1 + u2v2.
(422) The unit vectors <1, 0> and <0, 1> are called the ________ unit vectors.
(419) If v = 1, then v is a ____ vector.