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#Educational Updates #💼TSPSC/ APPSC ప్రత్యేకం #📖ఎడ్యుకేషన్✍ #🎓జాబ్ ప్రిపరేషన్📚 #🏆పోటీ పరీక్షల స్పెషల్
Educational Updates - VECTOR MATHMATICS @11 a = (-1,5,2),6 =(2,1,-3),andc = (-8, 7, 13). Find The scalars $ and fsuch 1hal sq + 1b = c t = 7 - 5(2) sq + t5 = E Solution -$ + 2t = -8 =7-10 55+ =7 [=-3 1=7- 55 ~s + 2(7 - 5s) = -8  _$ + 14 _ 105 = _8  ~lls =-22 5=2 In Ihe figure below OA = q and OB = b.AM:MB = 23, Gien Ihaf 012 ৭ =i -2j + 5k andb = i + 3j - 5k, calculafe the lengthofOM d=i - 2j + 5k Solution 5 = i + 3j - Sk AB = 0B - 0A (1,3,-5) - (1,-2 5) = ( 5, -10) 2(0,5,-10) = (1,0,1) OM = (1, -2, 5)+ |0M| = 11?+ 17) = 12 = 1.41 The posifon vecfors of A B and Care given as  @13 q = i + 3j + Sk b = 4i + 12j 20k and c = 3i + 9j + 15k respecfively Show that A, B and C are collinear Solution BC = OC - 08 व=1+ 3j + 5k চ = 4i + 12j + 20k  = (39 15) - (4 12, 20) = (~1, -3,-5) C = 3i + 9j + 15k AB = -3BC hey AB = 08 _ OA AB || BC and share a common point B, hence are collineer (4, 12, 20) - (1, 3, 5) VECTOR MATHMATICS @11 a = (-1,5,2),6 =(2,1,-3),andc = (-8, 7, 13). Find The scalars $ and fsuch 1hal sq + 1b = c t = 7 - 5(2) sq + t5 = E Solution -$ + 2t = -8 =7-10 55+ =7 [=-3 1=7- 55 ~s + 2(7 - 5s) = -8  _$ + 14 _ 105 = _8  ~lls =-22 5=2 In Ihe figure below OA = q and OB = b.AM:MB = 23, Gien Ihaf 012 ৭ =i -2j + 5k andb = i + 3j - 5k, calculafe the lengthofOM d=i - 2j + 5k Solution 5 = i + 3j - Sk AB = 0B - 0A (1,3,-5) - (1,-2 5) = ( 5, -10) 2(0,5,-10) = (1,0,1) OM = (1, -2, 5)+ |0M| = 11?+ 17) = 12 = 1.41 The posifon vecfors of A B and Care given as  @13 q = i + 3j + Sk b = 4i + 12j 20k and c = 3i + 9j + 15k respecfively Show that A, B and C are collinear Solution BC = OC - 08 व=1+ 3j + 5k চ = 4i + 12j + 20k  = (39 15) - (4 12, 20) = (~1, -3,-5) C = 3i + 9j + 15k AB = -3BC hey AB = 08 _ OA AB || BC and share a common point B, hence are collineer (4, 12, 20) - (1, 3, 5) - ShareChat