Math Chapter Wise question with answer

Q01 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 Q02 Find the value of 'a' such that the vectors ˆ ˆ ˆ ˆ ˆ ˆ 2i – j+ k,i + 2j – 3k and ˆ ˆ ˆ 3i + aj+ 5k are coplanar. English · UP TGT 2021 Q03 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 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 scalar p such that vectors 2 2 3 ˆ ˆ ˆ ˆ ˆ ˆ, i j k i j k − + + − − + + − − + + − − + + − and 3 5 ˆ ˆ... English · PGT 2009 Q06 If, a b and c are three coplanar unit vector, then the scalar triple product 2, 2, 2 − − − − − − − − − − − − a b b... English · PGT 2004