The volume of a right triangular prism ABCA 1 B 1 C 1 is equal to 3 . If the position vectors of the vertices of the base A B C are A(1,0,1) ; B(2,0,0) and C(0,1,0) the position vectors of the vertex A1 can be:

Question

The volume of a right triangular prism ABCA 1 B 1 C 1 is equal to 3 . If the position vectors of the vertices of the base A B C are A(1,0,1) ; B(2,0,0) and C(0,1,0) the position vectors of the vertex A1 can be: (A) (2,2,2) (B) (0,2,0) (C) (0,-2,2) (D) (0,-2,0)

Tardigrade Admin · Accepted Answer

Correct answer is (a) (2,2,2)Correct answer is (d) (0,-2,0)

Q. The volume of a right triangular prism $A BC A_{1} B_{1} C_{1}$ is equal to 3 . If the position vectors of the vertices of the base $A BC$ are $A (1, 0, 1); B (2, 0, 0)$ and $C (0, 1, 0)$ the position vectors of the vertex $A_{1}$ can be:

$(2, 2, 2)$

$(0, 2, 0)$

$(0, - 2, 2)$

$(0, - 2, 0)$

Correct answer is (a) $(2, 2, 2)$ Correct answer is (d) $(0, - 2, 0)$

Q. The volume of a right triangular prism ABCA1​B1​C1​ is equal to 3 . If the position vectors of the vertices of the base ABC are A(1,0,1);B(2,0,0) and C(0,1,0) the position vectors of the vertex A1​ can be:

(2,2,2)

(0,2,0)

(0,−2,2)

(0,−2,0)