# Shared Flashcard Set

## Details

Chap. 1 in Physics Demystified
Review of increadibly basic Mathematics and Physics
45
Physics
Not Applicable
02/14/2007

Term
 Equation
Definition
 A mathematical expression containing two parts, one on either side of the equals sign.
Term
 Formula
Definition
 An equation used for the purpose of deriving a certain value or solving some practical problem.
Term
 Vector
Definition
 A special type of quantity in which there are two components:magnitude and direction.
Term
 Coefficients
Definition
 A specific number.
Term
 Constant
Definition
 A specific quantity represented by a letter of the alphabet.
Term
 Varible
Definition
 An expression that stands for numbers but are not specific
Term
 The constant "c" stands for what, and how much?
Definition
 It stands for the speed of light and has the value of 299, 792, 000 meters per second.
Term
 The constant "e" stands for what, and how much?
Definition
 It stands for Euliers Number and has the value of 2.72828.
Term
 Varibles are most often represnted by what?
Definition
 Letters in the second half of the alphabet.
Term
 Constants are most often represented by what?
Definition
 Letters in the first half of the alphabet.
Term
 Speed is most often given in ____ per ____, because distance is in ____ and time is in ____.
Definition
 Meters per second, Meters, seconds
Term
 Approximatley how many square inches are in one square meter?
Definition
 1550
Term
 To convert feet per second into miles per hour, what do you multiply by?
Definition
 0.6818
Term
 What is the standard form for a "one-variable first order equation"?
Definition
 ax + b = 0
Term
 What are two none standard forms for writing a "one-variable first order equation"?
Definition
 cx = d, x = m / n
Term
 "c" in miles per second is equal to ____.
Definition
 186,282 mi/s
Term
 What is the common name for a "one-variable second-order equation"?
Definition
Term
 What is the proper form for the qudratic equation?
Definition
 a(x^2) + bx + c = 0
Term
 What are three none standard forms of writing a quadratic equation?
Definition
 m(x^2) + nx = pq(x^2) = rx + s(x + t)(x + u) = 0
Term
 What is the general quadratic formula?
Definition
 x = (-b +- ((b^2) - 4ac) ^ .5) / 2aX is equal to negative b plus or minus the squareroot of b squared minus four a c all over two a.
Term
 An imaginary number is represented by both the letters ____ and ____.
Definition
 j i.
Term
 What is the squareroot of j called?
Definition
 The unit imaginary number.
Term
 What is a complex number?
Definition
 A number that is the sum of some real number and some imaginary number.
Term
 What is the general form of a complex number?
Definition
 p + jq
Term
 What is the general form of an nth order equation?
Definition
 a(x^n) + b(x^(n-1)) + c(x^(n-2)) . . . w(x^2) + yx + z = 0
Term
 Vectors are commonly used in physics to represent what three things?
Definition
 Force, velocity and acceleration.
Term
 What is a scalar?
Definition
 A real number.
Term
 A number line is ____ ____ and they only have ____.
Definition
 one dimentional... magnitude.
Term
 What are some examples of what scalars can be used for?
Definition
 Time, Temperature, Mass...
Term
 What graph is used with rectangular coordinates?
Definition
 Cartesian planes.
Term
 In a cartesian plane, what is the magnitude of a line that starts at the origin and ends at (x,y)?
Definition
 ((x^2) + (y^2)) ^ .5
Term
 What is the sum of vectors a and b, if a (x,y) and b (w,z)?
Definition
 [(x+w),(y+z)]
Term
 How do you find the sum of two vectos geometrically?
Definition
 You construct a parallelogram with a and b as adjacent sides; then a+b is the diagonal of this parallelogram.
Term
 The dot product is also known as what?
Definition
 The scalars product.
Term
 What is the dot product of vectors a and b, if a (x,y) and b (w,z)?
Definition
 xw = yz
Term
 How is the cross product of a and b related to the plane that the vectors are on?
Definition
 The cross product is a vector that is always perpendicular to the plan.
Term
 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?
Definition
 (((x^2) + (y^2))^.5)(((w^2) + (z^2))^.5)(sin q)
Term
 What is a three dementional rectangular graph called?
Definition
 A cartesian three-space.
Term
 In a cartesian three-space, what is teh magnitude of a vector with coordinates (x,y,z)?
Definition
 ((x^2) + (y^2) + (z^2))^.5
Term
 What is the sum of vectos a and b if a (x,y,z) and b (u,v,w)?
Definition
 [(x+u),(y+v),(z+w)]
Term
 What is the dot product of a and b if a (x,y,z) and b (u,v,w)?
Definition
 xu + yv + zw
Term
 What happens to a vectos magnitude if the mecture is multiplied by a scalar?
Definition
 The magnitude is increase the same by the scalar.
Term
 If the direction of a vector changed after being multiplied by a scalar, what do we know about the scalar.
Definition
 It is negative.
Term
 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?
Definition
 -1
Term
 If a,b,c, and d are vectors, what is a simlar way of writing (a.c)(b.d)-(a.d)(b.c)?
Definition
 (a cross b).(c cross d)
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