ISRO Scientist or Engineer Mechanical 2006
Instructions
For the following questions answer them individually
Question 71
A unit vector perpendicular to the vectors $$\overrightarrow{a} = 2i - 3j + k$$ and $$\overrightarrow{b} = i + j - 2k,$$ is
Question 73
If $$\alpha, \beta, \gamma$$ are the roots of equations $$X^3 + Px^2 + qx + p = 0$$, Then the value of $$\tan^{-1} \alpha + \tan^{-1} \beta + \tan^{-1} \gamma$$ is
Question 78
Equation of a straight line passing through the point (-1,2) and making equal intercepts on the axes is
Question 79
A bag contains eight white and six red marbles. The probability of drawing two marbles of same colour is
Question 80
The Algebraic multiplicity of the matrix $$A = \begin{bmatrix}0 & 1 & 0 \\0 & 0 & 1 \\ 1 & -3 & 3 \end{bmatrix}$$ is
