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Vector Arithmetic
In this part we need to have a brief discussion of vector arithmetic.
Addition
We will begin with addition of two vectors. Thus, given the vectors a = a1 , a2 , a3 and b = b1 , b2 , b3 the addition of the two vectors is illustrated by the following formula.
a→ + b→ = (a1 + b1 , a2 + b2 , a3 + b3)
The following diagram gives the geometric interpretation of the addition of two vectors.
This is occasionally known as the parallelogram law or triangle law.
Subjective Probability Probability may be determined by a personal statement of how likely an outcome is in a single trial or repetition of the same experiment. Since sub
5 2 --- - --- x-1 x+1
Fermat Catalan Conjecture
Find the coordinates of the point P which is three -fourth of the way from A (3, 1) to B (-2, 5).
INTRODUCTION : When a child of seven isn't able to solve the sum 23+9, what could the reasons be? When she is asked to subtract 9 from 16, why does she write 9 - 16 = 13 ?
1) At a midway game at the state fair, the probability of winning an individual game is advertised to be 30% ( p = . 3). Suppose 50 people played the game (assume all 50 outcomes
Explain angle pairs ? Adjacent angle pairs Two angles are adjacent if they: 1. Have the same vertex. 2. Share a common side. 3. Have no interior points in common. Definit
19 times 5
find the amplitude and period of y=3 sin 2 pi x
To solve out linear equations we will make heavy use of the following facts. 1. If a = b then a + c = b + c for any c. All it is saying that we can add number, c, to both sides
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