Find the image of:
(i) (-2, 3, 4) in the yz-plane
(ii) (-5, 4, -3) in the xz-plane
(iii) (5, 2, -7) in the xy-plane
(iv) (-5, 0, 3) in the xz-plane
(v) (-4, 0, 0) in the xy-plane
(i) Given: Point is (-2, 3, 4)
To find: the image of the point in yz-plane
Since we need to find its image in yz-plane, a sign of its x-coordinate will change
So, Image of point (-2, 3, 4) is (2, 3, 4)
(ii) Given: Point is (-5, 4, -3)
To find: image of the point in xz-plane
Since we need to find its image in xz-plane, sign of its y-coordinate will change
So, Image of point (-5, 4, -3) is (-5, -4, -3)
(iii) 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)
(iv) Given: Point is (-5, 0, 3)
To find: image of the point in xz-plane
Since we need to find its image in xz-plane, sign of its y-coordinate will change
So, Image of point (-5, 0, 3) is (-5, 0, 3)
(v) Given: Point is (-4, 0, 0)
To find: image of the point in xy-plane
Since we need to find its image in xy-plane, sign of its z-coordinate will change
So, Image of point (-4, 0, 0) is (-4, 0, 0)