MCA Entrance Previous Year Question Bank

Match the following columns:

The simplified form of Boolean Expression:

$\overline{A}BC+ABC$ is ______.

The simplified form of Boolean expression AB + AB' is _____________.

If $\vec{a}=\hat{i}+\hat{j}+\hat{k}$, $\vec{a}\cdot \vec{b}=1$ and $\vec{a}\times \vec{b}=\hat{j}\hat{k}$, then $\vec{b}$ is equal to:

If $\vec{a},\vec{b}$ and $\vec{c}$ are unit vectors, then $|\vec{a}-\vec{b}{|}^2+|\vec{b}-\vec{c}{|}^2+|\vec{c}-\vec{a}{|}^2$ does not exceed:

If $\vec{a}$ and $\vec{b}$ are two unit vectors such that $\vec{a}+2\vec{b}$ and $5\vec{a}-4\vec{b}$ are perpendicular to each other, then the angle between $\vec{a}$ and $\vec{b}$ is:

The unit vectors orthogonal to the vector $-\hat{i}+2\hat{j}+2\hat{k}$ and making equal angles with x and y axis are