question 1)
Show that (4,5,2) , (1,7,3) and (2,4,5) are vertices of an equilateral triangle.

Question 2)
Find the distance from the point (-5, 2, -3) to the
a)xy-plane
b)yz-plane
b)z-axis
d)y-axis

Thank you very much.

2. Originally Posted by Jenny20
question 1)
Show that (4,5,2) , (1,7,3) and (2,4,5) are vertices of an equilateral triangle.
The distance between two points in three dimensions is: $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}$

So find the value of each side of the triangle.
Question 2)
Find the distance from the point (-5, 2, -3) to the
a)xy-plane
3
b)yz-plane
5
b)z-axis
Notice that the z-axis passes through the origin of the xy-plane, so find the distance from zero to the point (-5,2)
d)y-axis

Thank you very much.
Again, the y-axis passes through the origin of the xz-plane so find the distance from zero to point (-5,-3)