What is a line in relation to geometry?
In geometry, a line can be defined as a straight one- dimensional figure that has no thickness and extends endlessly in both directions.
What type of geometric object is the intersection of a line and a plane?
The intersection of a line and a plane in general position in three dimensions is a point. If the linear equation has no solution, the line either lies on the plane or is parallel to it.
How would you describe a plane in 3D?
A plane in space is defined by three points (which don’t all lie on the same line) or by a point and a normal vector to the plane. which is called the vector equation of a plane. the general equation of a plane in 3D space. A · 0 + B · 0 + C · 0 + D = 0 => D = 0.
What is the equation of XZ plane?
Similarly, the y-z-plane has standard equation x = 0 and the x-z-plane has standard equation y = 0. A plane parallel to the x-y-plane must have a standard equation z = d for some d, since it has normal vector k. A plane parallel to the y-z-plane has equation x = d, and one parallel to the x-z-plane has equation y = d.
Why there must be at least two lines on any given plane?
there must be at least two lines on any plane because a plane is defined by 3 non-collinear points. These lines may or may not intersect. If two of the 3 points are collinear, then we have a line through those 2 points as well as a line through the 3rd point.. Again, these lines may intersect, or they may be parallel.
Does a line have one dimension?
A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is sometimes called a straight line or, more archaically, a right line (Casey 1893), to emphasize that it has no “wiggles” anywhere along its length.
Which best describes the dimensions of a line?
It extends infinitely in both directions. It has only length therefore, it is one dimensional. Hence, the best describes the dimensions of a line is “A line has one dimension because it is made up of all points that extend infinitely in either direction.
Which best describes the dimensions of a plane?
Which best describes the dimensions of a plane? A plane has zero dimensions because it represents a location on the coordinate plane. A plane has one dimension because it is made up of an infinite number of points. A plane has two dimensions because it is a flat surface that has length and width but no depth.
What is the distance between points A and B quizlet?
The distance between points A and B written as AB is the absolute value of the difference of the coordinates of A and B. You just studied 84 terms!
How many dimensions does a line have?
one dimension
Which dimension do we live in?
In everyday life, we inhabit a space of three dimensions – a vast ‘cupboard’ with height, width and depth, well known for centuries. Less obviously, we can consider time as an additional, fourth dimension, as Einstein famously revealed.
How many dimensions can cats see?
But can cats see all 9 dimensions? Well, there is no scientific research to determine if, quantum physically speaking, cats can see all 9 dimensions.