A plane contains how many lines? one line two lines three lines infinite number of lines
2 answers:
Answer:
The answer is infinite number of lines
Step-by-step explanation:
In math, a plane may be described parametrically as the set of all points of the form:
where "q" and "z" are coefficient in the range over all real numbers, "h" and "k" are given linearly independent vectors defining the plane, and is the vector representing the position of an arbitrary (but fixed) point on the plane.
The vectors "h" and "k" can be visualized as vectors starting at and pointing in different directions along the plane. The vectors "h" and "k" can be perpendicular, but cannot be parallel.
Therefore, the vectors represents lines with different directions. If we fix the , then the others vectors, "h"and "k", will define the plane, and obviously there are infinite vectors.
Finally, a plane contains infinite number of lines.
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Here's one way to convert the number to the ratio of integers.
- Count the number of repeating digits. Call this number <em>n</em>. Here, only 5 has an overline, so there is only one repeating digit. That is, <em>n </em>= 1.
- Multiply the number by 10^(-n) and subtract that from the original number. Call the result <em>p</em>. Here, doing this gives
- Compute the value <em>q</em> = 1 - 10^(-n). The result of step 2 is <em>q</em> times the original number. Here, <em>q</em> = 1 - 10^-1 = 0.9.
- Create the fraction <em>p/q</em>. Note that both <em>p</em> and <em>q</em> have a finite number of decimal digits, so this is easily converted to the ratio of integers, by moving the decimal point an equal number of places in the numerator and denominator. Reduce the resulting fraction as may be required. This is the fraction you're looking for. Here, p/q = 3.23/0.9 = 323/90. No reduction of this fraction is possible.
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