If the vectors \(\bar{a}=(1, x,-2)\) and \(\bar{b}=(x, 3,-4)\) are mutually perpendicular, then the value of \(x\) is
Dot product of the two vectors must be zero, hence \[\] \(x+3 x+8=0 \Rightarrow 4 x+8=0 \Rightarrow \mathrm{x}=-2 \quad\) Choice (A)\[\]
Reinforce your conceptual grasp with related questions from NIMCET 2012:
Take timed full-length mock tests with authentic question distributions, negative marking (+12/-3 in Math), and instant All India Rank calculation.
Start Free Mock Test Series →