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Question:
The image of the point $(1, 2, 3)$ in the plane $x + y + z + 3 = 0 $ is
The image of the point $(1, 2, 3)$ in the plane $x + y + z + 3 = 0 $ is
Updated On: Jun 14, 2022
- (- 5, 4, - 3)
- (- 5, - 4, - 3)
- (5, - 4, 3)
- (5, 4, 3)
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The Correct Option is B
Solution and Explanation
[$\because$ mid-point of line joining (1, 2, 3) and (- 5, - 4, - 3) is (- 2, - 1, - 0) lies on $x+y + z + 3 $ = 0
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Concepts Used:
Coordinates of a Point in Space
Three-dimensional space is also named 3-space or tri-dimensional space.
It is a geometric setting that carries three values needed to set the position of an element. In Mathematics and Physics, a sequence of ‘n’ numbers can be acknowledged as a location in ‘n-dimensional space’. When n = 3 it is named a three-dimensional Euclidean space.
The Distance Formula Between the Two Points in Three Dimension is as follows;
The distance between two points P1 and P2 are (x1, y1) and (x2, y2) respectively in the XY-plane is expressed by the distance formula,
Read More: Coordinates of a Point in Three Dimensions
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