MHT CET · Maths · Vector Algebra
The length of the altitude through the point D of tetrahedron where the vertices of the tetrahedron are \(\mathrm{A}(2,3,1), \mathrm{B}(4,1,-2), \mathrm{C}(6,3,7)\), \(D(-5,-4,8)\), is
- A 5.5 units
- B 22 units
- C 33 units
- D 11 units
Answer & Solution
Correct Answer
(D) 11 units
Step-by-step Solution
Detailed explanation
\( \vec{AD} = \mathrm{D}-\mathrm{A} = (-5-2, -4-3, 8-1) = (-7, -7, 7) \) \( \vec{AB} = \mathrm{B}-\mathrm{A} = (4-2, 1-3, -2-1) = (2, -2, -3) \)
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