The question states; In the figure below, vector b and c are intersecting faces of a cube of edge a. Find teh components of vector d, where d = the scalar product of vectors b and c. enter image description here
With reference to the imagine above. I fist began by describing vectors. Vector b= ai+aj-bk The (a) came from the lenght of the cube. The (-b) from the fact that the vectr has a component in the negative direction z-plane. That is not equal to the lenght of once edge.
Vector c= -di+aj+ak
Vector c was identified with the same assuption as that of B
I used the vectors components to find the scalar product that i found to be; bxc = (a^2-ab)-(a^2+bc)+(a^2-ac)
My classmates and I have argued over the questions, and require verification on the method and the answer itself.