Math Chapter Wise question with answer

Q01 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 Q02 The value of the sealer λ for which the vector ˆ ˆ ˆ ˆ ˆ ˆ i, j+ k, i + j+ λk is coplanar, is: English · UP PCS (Pre) 1999 Q03 The value of λ for which λ ≠ 1 the vectors ˆ ˆ ˆ ˆ ˆ ˆ λi + j+ k. i + λj+ k and ˆ ˆ ˆ i + j+ λk are linearly depend... English · UP PCS (Pre) 1999 Q04 The value of λ for which the vectors ˆ ˆ ˆ i j k − + λ − + λ − + λ − + λ, ˆ ˆ ˆ i j k λ + − λ + − λ + − λ + − and ˆ... English · UP PCS (Pre) 2000 Q05 For any vector a, the value of () () () 2 2 2 ˆ ˆ a i a j a k × + × + × is: English · KVS PGT 2023 Q06 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