If a, b, c are three given non-coplanar vectors and any arbitratry vector r is in space, where `Delta_1=|[r*a, b*a, c*a], [r*b, b*b, c*b], [r*c, b*c, c*c]| : Delta_2=|[a*a, r*a, c*a], [a*b, r*b, c*b], [a*c, r*c, c*c]|`
`Delta_3=|[a*a, b*a, r*a], [a*b, b*b, r*b], [a*c, b*c, r*c]|, Delta_4=|[a*a, b*a, c*a], [a*b, b*b, c*b], [a*c, c*c, c*c]|`
Q. The vector r is expressible in the form

Options

A. (a)`r=(Delta_1)/(2Delta)a+(Delta_2)/(2Delta)b+(Delta_3)/(2Delta)c`
B. (b)`r=(2Delta_1)/(Delta)a+(2Delta_2)/(Delta)b+(2Delta_3)/(Delta)c`
C. (c)`r=(Delta)/(Delta_1)a+(Delta)/(Delta_2)b+(Delta)/(Delta_3)c`
D. (d)`r=(Delta_1)/(Delta)a+(Delta_2)/(Delta)b+(Delta_3)/(Delta)c`

Answer

D