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What is the importance of algebra for generating sequences?
Some sequences are defined by rules and algebra is a mathematical way of describing rules.
If the area of a square is 72 what is the radius?
Since a square doesn't normally have a "radius" that we understand, and you haven't defined the term as you're using it, there's no way to answer that question.
How do the units of volume differ from the units of area?
Length is a one-dimensional quantity, area is a two-dimensional quantity, and volume is a three-dimensional quantity. Length is defined in terms of linear units, feet (ft) and meters (m), for example. Area is defined in terms of square units, such as square feet (sq ft or ft2) or square meters (sq m or m2). Volume is defined in terms of cubic units, such as cubic feet (cu ft or ft3) or cubic meters (just m3). By the way, saying that a surface has an area of 100 square feet (sq ft) is the same as saying it has an area of 100 feet squared (ft3). Note that there are other units of area that don't involve the words square or squared. Some examples are acre, are, and hectare. The last two are metric units. Also note that there are units of volume that don't involve cubic units. Some examples are ounce, pint, quart, gallon, milliliter, and liter. Some people refer to those units as units of "capacity," but they are essentially units of volume.
When is 1 plus 1 greater than 2?
Never - unless this is a riddle of some sort. And unless "plus" is defined in some non standard way, 1 plus 1 is NOT eleven.
Why dot product of two vectors is scalar?
That's the way it is defined.
