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Chapter 6 Vocabulary (starts on page 401)

                                    Name: ___________________
                                    Period: __________________
                                    Date: ____________________
Across
Vector addition and scalar multiplication share many of the __________ of ordinary arithmetic, as seen on page 421.
________ triangles are triangles that have no right angles
When solving an oblique triangle given three sides, you can use the ____________ form of the Law of Cosines to solve for an angle.
When solving an oblique triangle given two sides and their included angle, you can use the _________ form of the Law of Cosines to solve for an unknown.
Let u = <u1, u2> and v = <v1, v2> be vectors and let k be a scalar (a real number). Then the ____ of u and v is the vector u + v = <u1 + v1, u2 + v2>
The ____ vectors <1, 0> and <0, 1> are called the standard ____ vectors and are denoted by i = <1, 0> and j = <0, 1>
To solve an oblique triangle, you need to know the measure of at least one side and any two other measures of the triangle--either two sides, two _____, or one angle and one side.
The __________ Case (SSA) is when two sides and one opposite angle are given.
When in the ambiguous case (SSA), only ______ possible situations can occur.
To solve an oblique triangle, you need to know the measure of at least one ____ and any two other measures of the triangle--either two ____s, two angles, or one angle and one ____.
The Law of Cosines can be used to establish _____'s Area Formula for the area of a triangle: Area = [s(s-a)(s-b)(s-c)]^1/2 where s = (a+b+c)/2.
The magnitude of a vector equals 0 if and only if v is the ____ vector 0.
The two basic vector operations are scalar _____________ and vector addition.
The ______ of an oblique triangle is equal to 1/2(bc sinA) = 1/2(ab sin C) = 1/2ac(sin B).
The scalars v1 and v1 are called the horizontal and vertical ___________ of v, respectively.
A directed line segment whose initial point is the origin is said to be in standard _________.
A directed line segment's __________ can be found using the Distance Formula.
Quantities such as force and velocity involved both magnitude and ___________.
Two vectors u = <u1, u2> and v = <v1, v2> are _____ if and only if u1 = v1 and u2 = v2.
Let u = <u1, u2> and v = <v1, v2> be vectors and let k be a scalar (a real number). The scalar _________ of k times u is the vector ku = k<u1, u2> = <ku1, ku2>.
The two basic vector operations are scalar multiplication and vector ________.
When you are given three sides (SSS), or two sides and their included angle (SAS), none of the ratios of Law of Sines would be complete. In such cases, you can use the Law of _________.
Down
You can add two vectors u and v using the ______________ law for vector addition because the vector u + v, often called the resultant of vector addition, is the diagonal of a ______________ having adjacent sides u and v.
Vectors are denoted by __________, boldface letters such as u, v, and w.
The directed line segment has initial point P and ________ point Q.
The _____ θ is the direction _____ of the vector u.
The vector sum v1i + v2j is called the linear ___________ of the vectors i and j.
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.
The Law of ______ says that if ABC is a triangle with sides a, b, and c, then a/sinA = b/sinB = c/sinC.
You can ______ vectors with a ______ing utility by _____ing directed line segments. Consult the user's guide for your ______ing utility for specific instructions.
Let u = <u1, u2> and v = <v1, v2> be vectors and let k be a scalar (a real number). The __________ of u and v is u - v = <u1 - v1, u2 - v2>.
The Law of Sines can be written in the __________ form sinA/a = sinB/b = sinC/c.
In operations with vectors, numbers are usually referred to as ______s.
A vector whose initial point is the origin (0,0) 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>.
You can add two vectors u and v using the ______________ law for vector addition because the vector u + v, often called the ___________ of vector addition, is the diagonal of a parallelogram having adjacent sides u and v.
To represent a quantity with both magnitude and direction, you can use a _________ line segment.
The directed line segment has _______ point P and terminal point Q.
Let u = <u1, u2> and v = <v1, v2> be vectors and let k be a scalar (a real number). The ________ of v = <v1, v2> is -v = (-1)v = <-v1, -v2>.
If the magnitude of a vector equals ___, then it is said to be a unit vector.