20 Aug 2023

Class 12 | 3D Geometry | If l 1 , m 1 , n 1 , l 2 , m 2 , n 2 a n d l 3 , m 3 , n 3 are the direction cosines of three mutually perpendicular lines,then prove that the line whose direction cosines are proportional to l 1 + l 2 + l 3 , m 1 + m 2 + m 3 a n d n 1 + n 2 + n 3 makes equal angles with them.

Class 12 | 3D Geometry | If  l 1 , m 1 , n 1 , l 2 , m 2 , n 2   a n d   l 3 , m 3 , n 3  are the direction cosines of three mutually perpendicular lines,then prove that the line whose direction cosines are proportional to  l 1 + l 2 + l 3 , m 1 + m 2 + m 3   a n d   n 1 + n 2 + n 3  makes equal angles with them.

 

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Summation k=1 to 9 1/k(k+1)(k+2) Class 9/10 IOM

 ANSWER:  276