Math Chapter Wise question with answer

Q01 Given that a and b are unit vectors. If the vectors p 3a 5b and q a b are mutually perpendicular then– English · KVS TGT 2017 Q02 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 Q03 If, for any vector a, it is given that () () () 2 2 2 2 ˆ ˆ ˆ a i a j a k α a, × + × + × = then the value of α is: English · UKPSC Lecturer (Mains) 2020 Q04 Vectors a i 2j 3k, b 2i 3j k, = − + = − + and c 3i j 2k, = − − are given. The value of a b c is: English · KVS PGT 2022 Q05 If the vectors ˆ ˆ a 2i 3j = − = − and ˆ ˆ ˆ b 4i 3k = − = − are given then the expression which is not defined is: English · PGT 2002 Q06 Volume of a parallelepiped whose co-terminous edges are given by ˆ ˆ a 2i 3j, ˆ ˆ ˆ b i j k and ˆ ˆ c 3i k is– English · (GIC) Lecturer exam, 2015