Question

In the cube of side 'a' shown in the figure,
the vector from the central point of the face
ABOD to the central point of the face BEFO
will be​

Answer 1

(The diagram for the question is attached below)

Given :

The length of side of a cube = a

To Find :

The vector equation from center of face ABOD to center of face BEFO

Solution :

• The position vector of OG from the figure= (a/2)i + (a/2)k

• The position vector of OH from the figure = (a/2)j + (a/2)k

• We know that  GH = OH - OG

                                  GH =  (a/2)j + (a/2)k - [ (a/2)i + (a/2)k]

                                  GH =  (a/2)j + (a/2)i

                                  GH = a/2 [j - i]

 The vector equation is  a/2 [j - i].