Math Chapter Wise question with answer

Q01 If a unit vector â makes angles π 3 with î, π 4 with ĵ and () θ 0, π ∈ with k̂, then value of θ is: English · EMRS PGT-2023 Q02 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 Q03 If the vectors i 3j 2k,2i j 4k and 3i 2j xk are coplanar, then the value of x is– English · KVS TGT 2017 Q04 If the vectors i– 3 j 7 k ∧ ∧ ∧ + x and i– y j– z k ∧ ∧ ∧ are collinear then the value of 2 xy z is equal to – English · UP PGT 2021 Q05 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 Q06 If the vectors ˆ ˆ ˆ αi+j+k, ˆ ˆ ˆ i +βj+k and ˆ ˆ ˆ i +j+γk are coplanar, then the value of 1 1 1 1 α 1 β 1 γ + +... English · UKPSC Lecturer (Mains) 2020