The minimum number of switches in the simplified form of the following switching circuit is

What is a vector? How can it be represented?

The vectors $\overrightarrow{A}$ and $\overrightarrow{B}$ lie in a plane. Another vector $\overrightarrow{C}$ lies outside this plane. The resultant $\overrightarrow{R} = \overrightarrow{A} + \overrightarrow{B} + \overrightarrow{C}$ of these three vectors:

If $\alpha, \beta$ and $\gamma$ are the angles made by a vector with $x, y$ and $z$ axes respectively,then $\sin ^2 \alpha + \sin ^2 \beta =$

In a switching circuit, if the combination $(S_1 \land S_2)$ is connected in parallel to the combination $(S_1' \land S_2')$, then the room is lit only when

Given two vectors $\vec{A}$ and $\vec{B}$,such that $\vec{A} + \vec{B} = \vec{C}$ and $A^2 + B^2 = C^2$. Which of the following statements is true?