The point (2, – 2, 3) lies in
In the 3D, fourth quadrant has x positive, y negative and z positive.
The image of (–2, 3, 4) in the yz -plane is:
The image of(-2,3,4) reflects in the 1st quadrant. As we know that in 1st quadrant all the x,y and z are positive
So the resultant will be : (2,3,4)
The X-axis and Y-axis taken together determine a plane known as ……
The x-axis and y-axis taken together determine a plane known as XY-plane.
The point (1, – 2, – 3) lies in
The eight octants can be divided into 2 parts.
Positive direction of Z-axis and negative direction of Z-axis.
Thus we have 2 sets of co-ordinates:
(+, +, +) ; (+, -, +) ; (-, +, +) ; (-, -, +)
(+, +, -) ; (+, -, -) ; (-, +, -) ; (-, -, -)
Therefore, the points (1,-2,-3) lies in 8th octant.
A point is on the X-axis, its y-coordinate and z-coordinates are:
If a point is on the x-axis, then its y-coordinates and z-coordinates are zero.
A point has coordinates (0,-3,0), So it lies on the
In which plane does the point (-3, -6, 0) lie?
In this question, the -coordinate is negative three, the -coordinate is negative six, and the -coordinate is zero. As is equal to zero, the point will not move in the direction of the -axis. We can therefore conclude that as is equal to zero, the point will lie on the -plane. If our -coordinate was equal to zero but and had a positive or negative value, the point would lie in the -plane.
Three dimensional coordinate planes divide the space into …… octants.
The point O is called the origin of the coordinate system. The three coordinate planes divide the space into eight parts known as octants. These octants could be named as XOYZ, X′OYZ, X′OY′Z, XOY′Z, XOYZ′, X′OYZ′, X′OY′Z′ and XOY′Z′.
The image of point (5, 2, – 7) in XY plane is:
Given: Point is (5, 2, -7)
To find: the image of the point in xy-plane
Since we need to find its image in xy-plane, a sign of its z-coordinate will change
So, Image of point (5, 2, -7) is (5, 2, 7)
L is a foot of the perpendicular drawn from the point P (3,4,5) on x axis. The coordinates of point L are:
L is the foot of the perpendicular from (3, 4, 5) to the X-axis. It will have Y and Z- coordinate as 0.
L (3, 0, 0)