• **dimension** ⪢⪢

The number of _____s is how many values are needed to locate points on a shape. #math

http://qindex.info/i.php?x=10324

The number of _____s is how many values are needed to locate points on a shape. #math

http://qindex.info/i.php?x=10324

○○○ Point ⪢⪢

First we look at a point. This is nothing more than a location in space. It is zero-**dimension**al, meaning that it has no **dimension**s of any kind. #math

http://qindex.info/i.php?x=5030

First we look at a point. This is nothing more than a location in space. It is zero-

http://qindex.info/i.php?x=5030

• **dimension**

The number of**dimension**s is how many values are needed to locate points on a shape.

http://qindex.info/i.php?x=5044

The number of

http://qindex.info/i.php?x=5044

• What are quaternions, and how do you visualize them? A story of four **dimension**s.

http://qindex.info/i.php?x=5386

http://qindex.info/i.php?x=5386

• Thinking visually about higher **dimension**s

Thinking visually about higher**dimension**s

http://qindex.info/i.php?x=3388

Thinking visually about higher

http://qindex.info/i.php?x=3388

◌◌◌ Line

From here, we can construct a one-**dimension**al object by stringing an infinite number of points along a particular **dimension**. This object is called a line.

http://qindex.info/i.php?x=5177

From here, we can construct a one-

http://qindex.info/i.php?x=5177

◌◌◌ Space

By stringing an infinite number of lines along a**dimension** perpendicular to the line, a two-**dimension**al object called a plane can be obtained. And then if we string an infinite number of planes in either direction, we get three **dimension**al space.

http://qindex.info/i.php?x=5178

By stringing an infinite number of lines along a

http://qindex.info/i.php?x=5178

• Cross Product

Given two nonzero vectors in two or three**dimension**s, their cross product is a vector with magnitude equal to the product of the magnitudes of the vectors times the sine of the angle between the vectors and direction perpendicular to the vectors.

http://qindex.info/i.php?x=5291

Given two nonzero vectors in two or three

http://qindex.info/i.php?x=5291

◌◌◌ Plane

By stringing an infinite number of lines along a**dimension** perpendicular to the line, a two-**dimension**al object called a plane can be obtained. And then if we string an infinite number of planes in either direction, we get three **dimension**al space.

http://qindex.info/i.php?x=5031

By stringing an infinite number of lines along a

http://qindex.info/i.php?x=5031

• Leonard Susskind

The space itself may be more than three**dimension**s. But we can't visualize more **dimension**s. The architecture of the brain itself is evolved in the world of three **dimension**s. We only describe more **dimension**s by pure mathematics.

http://qindex.info/i.php?x=5242

The space itself may be more than three

http://qindex.info/i.php?x=5242

• **dimension**

The number of**dimension**s is how many values are needed to locate points on a shape.

http://qindex.info/i.php?x=9579

The number of

http://qindex.info/i.php?x=9579