1.

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

Answer»

(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)



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