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A building is to be constructed in the form of a triangular pyramid ABCD as shown in the figure…

Mathematics20262 marksShort answer
A building is to be constructed in the form of a triangular pyramid ABCD as shown in the figure. Let the angular points be $A(0, 1, 2)$, $B(3, 0, 1)$, $C(4, 3, 6)$ and $D(2, 3, 2)$ and let G be the point of intersection of the medians of $\Delta BCD$. Using the above information, answer the following (Application)
Figure for this question
(a)
What will be the length of vector $\vec{AG}$?
(b)
Find the area of $\Delta ABC$.

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Vectors

From ISC 2026 Specimen Mathematics Paper 1, question 16(i).