For any three vectors a,b and c prove that [a b c]^(2)=|(a*a,a*b,a*c),(b*a,b*b,b*c),(c*a,c*b,c*c...

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If ๐š, ๐› and c are unit vectors satisfying |๐š-๐›|^2+|๐›-๐œ|^2+|c-a|^2=9, then |2 a+5 b+5 c| is ... If ๐š, ๐› and c are unit vectors satisfying |๐š-๐›|^2+|๐›-๐œ|^2+|c-a|^2=9, then |2 a+5 b+5 c| is ...
If a, b and c are three non-coplanar vectors such that a+b+c=ฮฑ d and b+c+d=ฮฒ a, then a+b+c+d is e... If a, b and c are three non-coplanar vectors such that a+b+c=ฮฑ d and b+c+d=ฮฒ a, then a+b+c+d is e...
Three vectors Aโƒ—, Bโƒ—, Cโƒ— satisfy the relation Aโƒ—ยทBโƒ—=0 and Aโƒ—ยทCโƒ—=0. The vector Aโƒ— is parallel to (... Three vectors Aโƒ—, Bโƒ—, Cโƒ— satisfy the relation Aโƒ—ยทBโƒ—=0 and Aโƒ—ยทCโƒ—=0. The vector Aโƒ— is parallel to (...
If a, b, c are three unit vectors such that a+b+c=0, then a . b+b . c+c . a is equal to (1) -1 (2... If a, b, c are three unit vectors such that a+b+c=0, then a . b+b . c+c . a is equal to (1) -1 (2...
Prove that (a+b+c)^3-a^3-b^3-c^3=3(a+b)(b+c)(c+a) Prove that (a+b+c)^3-a^3-b^3-c^3=3(a+b)(b+c)(c+a)
If the vertices A, B, C of a triangle ABC are (1,2,3),(-1,0,0),(0,1,2), respectively, then find โˆ ... If the vertices A, B, C of a triangle ABC are (1,2,3),(-1,0,0),(0,1,2), respectively, then find โˆ ...
Prove that in any triangle ABC, cosA=b^2+c^2-a^2/2 b c, where a, b, c are the magnitudes of the s... Prove that in any triangle ABC, cosA=b^2+c^2-a^2/2 b c, where a, b, c are the magnitudes of the s...
Prove by the method of vectors that in a triangle a/sin A=b/sin B=c/sin C (W) Prove by the method of vectors that in a triangle a/sin A=b/sin B=c/sin C (W)