Question

What restrictions must be made on x, y, and z so that the triple (x, y, z) will represent a point on the y axis? On the z axis? In the xz plane? In the yz plane?

Answer 1

Answer:i) The point on y-axis is (0,y,0)

            ii) The point on z-axis is (0,0,z)

            iii)  The point on x z plane is (x,o,z)

            iv) The point on y z plane is (0,y,z)

Step-by-step explanation:

Explanation:-

i) For every point on x-axis, y-co-ordinate is zero and z- co-ordinate is zero

i .e., y=0 and z=0

The point on x-axis is (x,0,0)

ii) For every point on y-axis, x-co-ordinate is zero and z- co-ordinate is zero

i .e., x=0 and z=0

The point on y-axis is (0,y,0)

iii) For every point on z-axis, x-co-ordinate is zero and y- co-ordinate is zero

i .e., x=0 and y=0

The point on z-axis is (0,0,z)

iv)  For every point on X Z plane then Y=0

The point on x z plane is (x,o,z)

v) For every point on Y Z plane then X=0

The point on yz plane is (0,y,z)

vi) For every point on X Y plane then Z=0

The point on x y plane is (x,y,0)