[" Find: "],[[" (i) "(1)/(4)" of "," (a) "(1)/(4)," (b) "(3)/(5)," (c) "(4)/(3)],[" (ii) "(1)/(7)" of "(a)(2)/(9)," (b) "(6)/(5)," (c) "(3)/(10)]]

Show that the following points are collinear: (i) A(2, -2), B(-3, 8) and C(-1, 4) (ii) A(-5, 1), B(5, 5) and C(10, 7) (iii) A(5, 1), B(1, -1) and C(11, 4) (iv) A(8, 1), B(3, -4) and C(2, -5)

If {[(5,1,4),(7,6,2),(1,3,5)][(1,6,-7),(6,2,4),(-7,4,3)][(5,7,1),(1,6,3),(4,2,5)]}^(2020)=[(a_(1),a_(2),a_(3)),(b_(1),b_(2),b_(3)),(c_(1),c_(2),c_(3))] , then the value of 2|a_(2)-b_(1)|+3|a_(3)-c_(1)|+4|b_(3)-c_(2)| is equal to

If {[(5,1,4),(7,6,2),(1,3,5)][(1,6,-7),(6,2,4),(-7,4,3)][(5,7,1),(1,6,3),(4,2,5)]}^(2020)=[(a_(1),a_(2),a_(3)),(b_(1),b_(2),b_(3)),(c_(1),c_(2),c_(3))] , then the value of 2|a_(2)-b_(1)|+3|a_(3)-c_(1)|+4|b_(3)-c_(2)| is equal to

If A = [(5,3),(4,2)], B = [(1,1),(-1,2)], C = [(-3,2),(-7,5)] find 2 A + 3 B - 4 C

If A = [{:(3, 2),(1, 4):}], B = [{:(-5, 9), (3, 4):}]," and C" = [{:(-3, 6),(2, 1):}], then find 2A + 3B - 4C.

If A="diag "[2,-5,9],B="diag "[-3,7,14]" and "C="diag "[4,-6,3] , find: (i) A+2B1 (ii) B+C-A (iii) 2A+B-5C.

(a) If U= {1,2,3,……, 10} ,A = { 1,2,3,4,5}, B= {1,3,5,7,9} , C {2,4,8,10}, verify that : (i) (AuuB)^(c)=A^(c)capB^(c) (ii) (AcapB)^(c)=A^(c)uuB^(c) (iii) A-B=AcapB^(c) (iv) Acap(BuuC)=(AcapB)uu(AcapC) . (b) If U={1,2,3,4,5,6,7,8,9}, A={2,4,6,8} and B= {2,3,5,7}. Veify that : (i) (AuuB)^(c)=A^(c)capB^(c) (ii) (AcapB)^(c)=A^(c)uuB^(c) .

Let A=[{:(2,4),(3,2):}],B=[{:(1,3),(-2,5):}]" and "C=[{:(-2,5),(3,4):}]. Find: (i) A+2B (ii) B-4C (iii) A-2B+3C

Let U = { 1,2,3,4,5,6,7,8,9,10} ,A = { 1,3,5,} B = {2,4,6} , C = {4,5,6} Find (i) A^(c) nn B^(c) (ii) (A uu B)^(c) nn C^(c)

Let U= {1,2,3,4,5,6,7,8,9}, A={1,2,3,4}, B={2,4,6,8},C={3,4,5,6}. Find : (i) A' (ii) B' (iii) (AuuC) (iv) (AuuB) (v) (A-B) (vi) (B-C) .