Math Chapter Wise question with answer

Q01 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 Q02 For there vectors ˆ a,b,c which of the following expression in not equal to any of the remaining there? English · UP PCS (Pre) 2004 Q03 If the vectors a, b and c form the sides BC, CA and AB respectively of a ∆ ∆ ∆ABC, then: English · EMRS PGT-2023 Q04 The number of distinct real values of λ,for which the vectors – and 2 ˆ ˆ ˆ i + j – λ k are coplanar is: English · UKPSC Lecturer (Mains) 2020 Q05 The value of 'a' for which the points A,B,C with position vectors ˆ ˆ ˆ 2i j k − +, ˆ ˆ ˆ i 3j 5k − −, ˆ ˆ ˆ ai – 3... English · Haryana PGT 2019 Q06 Let a 4i 5j k = + − b i 4j 5k = − + c 3i j k = + − Then a vector d which is perpendicular to both a and b and for w... English · UKPSC GIC 2018