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 The value of () i j k j k i k i j × + + × + + × + is equal to: English · KVS PGT 2023 Q04 For any vector a, the value of () () () 2 2 2 ˆ ˆ a i a j a k × + × + × is: English · KVS PGT 2023 Q05 If | a | 4 | b | 5 and a. b 10 = then the value | a b | × is: English · KVS PGT 2022 Q06 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