If the points A, B, C, D with position vectors \overline{i}+\overline{j}-\overline{k}, \overline{i}-\overline{j}+2 \overline{k}, \overline{i}-2 \overline{j}+\overline{k}, 2 \overline{ {\i}}+\overline{ {\j}}+\overline{ {\k}} respectively form a tetrahedron, then the angle between the faces ABC and ABD of the tetrahedron is [AP EAPCET 21 May 2025 S2]

Correct Answer is : Cos−1(−4√29)

{\Cos}^{-1} ( {-4}/{\sqrt{29}})

{\Cos}^{-1} ( {\sqrt{29}}/{\sqrt{33}})

AP EAPCET 21 May 2025 Shift 2 Paper

Section: Mathematics

Question : 32 of 160

Marks: +1, -0

If the points A,B,C,D with position vectors i+j−k,i−j+2k,i−2j+k, 2i+j+k respectively form a tetrahedron, then the angle between the faces ABC and ABD of the tetrahedron is

[AP EAPCET 21 May 2025 S2]

Cos−1(‌
−4
√29
)
Cos−1(‌
−4
5
)
Cos−1(‌
3
5
)
Cos−1(‌
√29
√33
)

Validate

Go to Question:

Prev Question

Next Question