Let \overline{ {\OA}}=\overline{i}-3 \overline{j}+\overline{k}, \overline{O B}=\overline{i}+3 \overline{j}-2 \overline{k} and \overline{ {\OC}}=4 \overline{i}+3 \overline{j}+5 \overline{k} be the position vectors of three points {\A}, {\B} and {\C}. Let {\P} be the point which divides {\AB} in the ratio 2: 1. If l, {\m}, {\n} are the direction cosines of the vector \overline{P C}, then l+3 m+2 n= [TG EAPCET 13 May 2023 Shift 1]

TS EAMCET Engineering 13 May 2023 Shift 1 Solved Paper

Section: Mathematics

Question : 31 of 160

Marks: +1, -0

Let OA=i−3j+k,OB=i+3j−2k and OC=4i+3j+5k be the position vectors of three points A,B and C.
Let P be the point which divides AB in the ratio 2:1. If l,m,n are the direction cosines of the vector PC, then l+3m+2n=

[TG EAPCET 13 May 2023 Shift 1]

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