Math Chapter Wise question with answer

Q01 Let a = (2 î – ĵ + k̂), b = (î + 2 ĵ – k̂) and c = (î + ĵ–2 k̂) be three vector. A vector in the plane of b a... English · RPSC PGT 2022 Q02 Let vectors α (4y)a (2 y 1)b = + + + + x x and β (y 2 2)a (2 3y 1)b = − + + − − x x, where a and b are non-zero and... English · UKPSC Lecturer (Mains) 2020 Q03 Let a, b, c be distinct non-negative numbers. If the vectors () () ˆ ˆ ˆ ˆ ˆ, i k ai +aj+ck + and () ˆ ˆ ˆ ci +cj+b... English · TGT 2004 Q04 Let ˆ ˆ ˆ a = 3i + 2j+ 2k and ˆ ˆ ˆ b = i + 2j- 2k be two vectors. If a vector perpendicular to both the vectors a... English · EMRS PGT-2023 Q05 Let − x = 2i + j 2k and y = i + j.If z is a vector such that x.z = z, z x = 2 2 − − and the angle between x×y and z... English · DSSSB PGT 2021 Q06 There are two orthogonal vectors A,B in R3, each of length 1 unit. Let P be a vector satisfying the equation P×B =... English · DSSSB PGT 2021