Obtain the product of `a,2b,3c,6abc`

Obtain the product of a,-a^2,a^3

If alpha=omega,b=omega^2,c=i , then the value of : |(a,a+2b,a+2b+3c),(3a,4a+6b,5a+7b+9c),(6a,9a+12b,11a+15b+18c)| is :

Obtain the volume of rectangular boxes with the following length,breadth and height respectively: a,2b,3c

Find the product (2a + b+c) (4a ^(2) + b ^(2) + c ^(2) - 2ab -bc -2ca)

The useful by products obtained in the Solvay process of manufacture of Na_(2)CO_(3) are :

If [(x+3,z+4,2y-7),(-6,a-1,0),(b-3,-21,0)]=[(0,6,3y+2),(-6,-3,2c+2),(2b+4,-21,0)] Find the values of a, b, c, x, y and z.

Show that the vectors a-2b+4c,-2a+3b-6c and -b+2c are coplanar vector, where a,b,c are non-coplanar vectors.

The given product can not be obtained in the above reaction. Identify the correct product obtained.

, Product obtained is :

2, 4-hexadiyne (C6H6) is allowed to react with Li in NH3(liq). The product obtained is treated with 1 equivalent of Cl_2 in CCl_4 . Which of the following constitutional isomers are possible products ?