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| A mathematical expression containing two parts, one on either side of the equals sign. |
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| An equation used for the purpose of deriving a certain value or solving some practical problem. |
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| A special type of quantity in which there are two components:magnitude and direction. |
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| A specific quantity represented by a letter of the alphabet. |
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| An expression that stands for numbers but are not specific |
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| The constant "c" stands for what, and how much? |
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| It stands for the speed of light and has the value of 299, 792, 000 meters per second. |
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| The constant "e" stands for what, and how much? |
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| It stands for Euliers Number and has the value of 2.72828. |
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| Varibles are most often represnted by what? |
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| Letters in the second half of the alphabet. |
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| Constants are most often represented by what? |
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| Letters in the first half of the alphabet. |
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| Speed is most often given in ____ per ____, because distance is in ____ and time is in ____. |
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| Meters per second, Meters, seconds |
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| Approximatley how many square inches are in one square meter? |
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| To convert feet per second into miles per hour, what do you multiply by? |
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| What is the standard form for a "one-variable first order equation"? |
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| What are two none standard forms for writing a "one-variable first order equation"? |
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| "c" in miles per second is equal to ____. |
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| What is the common name for a "one-variable second-order equation"? |
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| What is the proper form for the qudratic equation? |
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| What are three none standard forms of writing a quadratic equation? |
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Definition
m(x^2) + nx = p
q(x^2) = rx + s
(x + t)(x + u) = 0 |
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| What is the general quadratic formula? |
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Definition
x = (-b +- ((b^2) - 4ac) ^ .5) / 2a
X is equal to negative b plus or minus the squareroot of b squared minus four a c all over two a. |
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| An imaginary number is represented by both the letters ____ and ____. |
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| What is the squareroot of j called? |
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| The unit imaginary number. |
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| What is a complex number? |
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| A number that is the sum of some real number and some imaginary number. |
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| What is the general form of a complex number? |
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| What is the general form of an nth order equation? |
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| a(x^n) + b(x^(n-1)) + c(x^(n-2)) . . . w(x^2) + yx + z = 0 |
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| Vectors are commonly used in physics to represent what three things? |
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| Force, velocity and acceleration. |
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| A number line is ____ ____ and they only have ____. |
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| one dimentional... magnitude. |
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| What are some examples of what scalars can be used for? |
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| Time, Temperature, Mass... |
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| What graph is used with rectangular coordinates? |
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| In a cartesian plane, what is the magnitude of a line that starts at the origin and ends at (x,y)? |
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| What is the sum of vectors a and b, if a (x,y) and b (w,z)? |
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| How do you find the sum of two vectos geometrically? |
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| You construct a parallelogram with a and b as adjacent sides; then a+b is the diagonal of this parallelogram. |
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| The dot product is also known as what? |
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| What is the dot product of vectors a and b, if a (x,y) and b (w,z)? |
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| How is the cross product of a and b related to the plane that the vectors are on? |
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| The cross product is a vector that is always perpendicular to the plan. |
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| If the angle between a and b, counterclockwise, is called q, and a (x,y) and b (w,z), then what is the magnitured of the cross product in terms of x,y,z,w, and q? |
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Definition
| (((x^2) + (y^2))^.5)(((w^2) + (z^2))^.5)(sin q) |
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| What is a three dementional rectangular graph called? |
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| In a cartesian three-space, what is teh magnitude of a vector with coordinates (x,y,z)? |
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| ((x^2) + (y^2) + (z^2))^.5 |
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| What is the sum of vectos a and b if a (x,y,z) and b (u,v,w)? |
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| What is the dot product of a and b if a (x,y,z) and b (u,v,w)? |
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| What happens to a vectos magnitude if the mecture is multiplied by a scalar? |
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| The magnitude is increase the same by the scalar. |
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| If the direction of a vector changed after being multiplied by a scalar, what do we know about the scalar. |
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| If the cross product of a and b is equal to k times the cross product of b and a, k is equal to what? |
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| If a,b,c, and d are vectors, what is a simlar way of writing (a.c)(b.d)-(a.d)(b.c)? |
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