Let the position vectors of the vertices A, B and C of a triangle be 2 \stackrel{\^}{i}+2 \stackrel{\^}{j}+\stackrel{\^}{k}, \stackrel{\^}{i}+2 \stackrel{\^}{j}+2 \stackrel{\^}{k} and 2 \stackrel{\^}{ {\i}}+\stackrel{\^}{ {\j}}+2 \stackrel{\^}{ {\k}} respectively. Let l_1, l_2 and l_3 be the lengths of perpendiculars drawn from the ortho center of the triangle on the sides {\AB}, {\BC} and {\CA} respectively, then l_1^2+l_2^2+l_3^2 equals : [27-Jan-2024 Shift 2]

Vector Algebra Part 2

Section: Mathematics

Question : 1 of 100

Marks: +1, -0

Let the position vectors of the vertices A,B and C of a triangle be 2

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and 2

respectively. Let l1,l2 and l3 be the lengths of perpendiculars drawn from the ortho center of the triangle on the sides AB,BC and CA respectively, then l12+l22+l32 equals :

[27-Jan-2024 Shift 2]

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1
3

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