AP EAMCET Engineering 20 Apr 2019 Shift 1 Paper

The volume of tetrahedron OABC is given by,
OABC=‌

1

6

[abc]
Now the position vectors are,
‌

a+b

3

,‌

b+c

3

,‌

c+a

3

,‌

a+b+c

3

So, conterminous edge vectors of new tetrahedron are
‌

a

3

,‌

b

3

,‌

c

3

So, the volume of new tetrahedron is,
‌

1

6

[‌

a

3

‌

b

3

‌

c

3

]=‌

1

6×27

[a‌b‌c]
So, the required ratio is ‌

1

27