MCQ
$\hat{i} \cdot(\hat{j} \times \hat{k})+\hat{j} \cdot(\hat{i} \times \hat{k})+\hat{k} \cdot(\hat{i} \times \hat{j})$ $+\hat{j} \cdot(\hat{j} \times \hat{k})=$ __________ .
  • A
    3
  • B
    $-1$
  • 1
  • D
    $0$

Answer

Correct option: C.
1
C

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

If $A$ is a $m \times n$matrix and $B$ is a matrix such that both $AB$ and $BA$ are defined, then the order of $B$ is
If $A$ and $B$ are two independent events, then the probability of occurrence of atleast one of $A$ and $B$ is given by
If $A$ and $B$ are two independent events such that $P\,(A) = \frac{1}{2},\,\,P(B) = \frac{1}{5},$ then
The solution curve, of the differential equation $2 \mathrm{y} \frac{\mathrm{dy}}{\mathrm{dx}}+3=5 \frac{\mathrm{dy}}{\mathrm{dx}}$, passing through the point $(0,1)$ is a conic, whose vertex lies on the line :
If ${\Delta _1} = \left| {\,\begin{array}{*{20}{c}}x&b&b\\a&x&b\\a&a&x\end{array}\,} \right|$ and ${\Delta _2} = \left| {\,\begin{array}{*{20}{c}}x&b\\a&x\end{array}\,} \right|$ are the given determinants, then
$\int\frac{\sin^2\text{x}-\cos^2\text{x}}{\sin^2\text{x}\cos^2\text{x}}\text{dx}$ is equal to:
  1. $\tan\text{x}+\cos\text{x}+\text{c}$
  2. $\tan\text{x}+\text{cosec}\text{x}+\text{c}$
  3. $\tan\text{x}+\text{cot}\text{x}+\text{c}$
  4. $\tan\text{x}+\sec\text{x}+\text{c}$
If $\vec{\text{a}}$ and $\vec{\text{b}}$ are unit vectors, then which of the following values of $\vec{\text{a}}.\vec{\text{b}}$ is not possible?
  1. $\sqrt{3}$
  2. $\frac{\sqrt{3}}{2}$
  3. $\frac{1}{\sqrt{2}}$
  4. $\frac{-1}{2}$
The Image of the point (2, -1, 5) in the plane $\vec{\text{r}},\hat{\text{i}}=0$ is:
$\int {x\sin x\ {{\sec }^3}\ x\,\,\,dx} $  equal to
The area bounded by the curve $y = {x^3},$ $x - $ axis and two ordinates $x = 1$ to $x = 2$ equal to