If m₁, m₂, m₃ and m₄ are respectively the magnitudes of the vectors a ₁=2 i - j + k , a ₂=3 i -4 j -4 k , a ₃= i + j - k and a ₄=- i +3 j + k , then the correct order of m₁, m₂, m₃ and m₄ is

Step-by-step solution

Given, aligned & m₁= | a ₁ |= 2^2+(-1)^2+(1)^2 = 6 & m₂= | a ₂ |= 3^2+(-4)^2+(-4)^2 = 41 & m₃= | a ₃ |= 1^2+1^2+(-1)^2 = 3 aligned and m₄= | a ₄ |= (-1)^2+(3)^2+(1)^2 = 11 m₃ < m₁ < m₄ < m₂