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 | a | 4 | b | 5 and a. b 10 = then the value | a b | × is: English · KVS PGT 2022 Q04 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 Q05 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 Q06 If () () () = + + θ ˆ ˆ ˆ r asint i acost j at tan k then the value of 2 × dr d r dt dt is- English · UPPSC GIC 2021