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The volume of a right triangular prism A...

The volume of a right triangular prism `ABCA_1B_1C_1` is equal to 3. If the position vectors of the vertices of thebase ABC are `A(1, 0, 1), B(2,0, 0) and C(O, 1, 0)`, then position vectors of the vertex `A_1`, can be

A

`(2,2,2)`

B

`(0,2,0)`

C

`(0,-2,2)`

D

`(0,-2,0)`

Text Solution

Verified by Experts

The correct Answer is:
A, D
a,d
Knowing the volume of the prism we find its altitude `H=(A A_(1))=` and designing the vertex `A_(1)(x_(1),y_(1),z_(1))` relate the co-ordinate of the vector `vec("AA")_(1)` perpendicular to `vec(AC)`]
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