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SPACEBAR SWITCHES TYPING DIRECTION

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Name:____________________________________

Date: _____________(Due Monday, January 23rd)

Date: _____________(Due Monday, January 23rd)

Period: ___________________________________

Across

(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.

Down

(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.

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