Math Chapter Wise question with answer

Q01 If a, b and c are unit vectors such that a + b + c = 0, then the value of a. b + b. c + c.a is: English · KVS PGT 2023 Q02 If a,b and c are three vectors in such a way that a + b + c = 0 and a = 1, b = 4, c = 2, then the value of () 2 a.b... English · UP TGT 2021 Q03 If â and b̂ are unit vectors such that ˆ â + 2b and ˆ ˆ 5a – 4b are perpendicular to each other, then the angle b... English · UP TGT 2021 Q04 Find the value of 'a' such that the vectors ˆ ˆ ˆ ˆ ˆ ˆ 2i – j+ k,i + 2j – 3k and ˆ ˆ ˆ 3i + aj+ 5k are coplanar. English · UP TGT 2021 Q05 a =(1,1,1) and c =(0,1,–1) are two given vectors. What will be vector b such that a b c × = and. a b 10 =. English · PGT 2010 Q06 The value of scalar p such that vectors 2 2 3 ˆ ˆ ˆ ˆ ˆ ˆ, i j k i j k − + + − − + + − − + + − − + + − and 3 5 ˆ ˆ... English · PGT 2009