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$$(-1,-5,-7)$$ lies in Octant

A rectangular wooden prism is made up of three pieces, each consisting of four cubes of wood glued together. Which of the following pieces has the same shape as the black piece?

If the $$zx$$-plane divides the line segment joining $$(1,-1,5)$$ and $$(2,3,4)$$ in the ratio $$p:1$$, then $$p+1=$$

The point $$(0 , -2 , 5)$$ lies on the

An ordered triplet corresponds to ___________ in three dimensional space.

The ratio in which the plane $$2x+3y-2z+7=0$$ divides the line segment joining the points $$(-1, 1, 3)$$, $$(2, 3, 5)$$ is

The points $$(2, 5)$$ and $$(5, 1)$$ are the two opposite vertices of a rectangle. If the other two vertices are points on the straight line $$y = 2x + k$$, then the value of k is

The ratio in which $$xy-$$plane divides the line joining the points $$(1, 0, -3)$$ and $$(1, -5, 7)$$ is given by 

The distance of origin from the image of (1, 2, 3) in plane x - y + z = 5 is 

The distance between the origin and the centroid of the tetrahedron whose vertices are $$(0, 0, 0)$$, $$(a, 0, 0), (0, b, 0), (0, 0, c)$$ is?