MCQ
$i\,.\,(j \times k) + j\,.\,(k \times i) + k\,.\,(i \times j) = $
  • A
    $1$
  • $3$
  • C
    $-3$
  • D
    $0$

Answer

Correct option: B.
$3$
b
(b) $i\,.\,(j \times k) + j\,.\,(k \times i) + k.(i \times j)$=$i\,.\,i + j\,.\,j + k\,.\,k = 3.$

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

Let $f: N \rightarrow N$, where $f(x)=x-(-1)^x$, then $f$ is
Let $\vec{a}=\hat{i}+\alpha \hat{j}+3 \hat{k}$ and $\vec{b}=3 \hat{i}-\alpha \hat{j}+\hat{k} \cdot$ If the area of the parallelogram whose adjacent sides are represented by the vectors $\vec{a}$ and $\vec{b}$ is $8 \sqrt{3}$ square units, then $\overrightarrow{ a } \cdot \overrightarrow{ b }$ is equal to ....... .
If $\int \limits_0^\pi \frac{5^{\cos x}\left(1+\cos x \cos 3 x+\cos ^2 x+\cos ^3 x \cos 3 x\right) d x}{1+5^{\cos x}}=\frac{k \pi}{16}$, then $k$ is equal to $...........$.
If $P(3,\,4,\,5),$ $Q(4,\,6,\,3),$ $R( - 1,\,2,\,4),$ $S(1,\,0,\,5)$ then the projection of $RS$ on $PQ$ is
Choose the correct answer from the given four options.Let $A$ and $B$ be two events such that $\text{P}(\text{A})=\frac{3}{8},\text{P}({\text{B}})=\frac{5}{8}$ and $\text{P}(\text{A}\cup\text{B})=\frac{3}{4}.$Then $\text{P}\Big(\frac{\text{A}}{\text{B}}\Big)\cdot\text{P}\Big(\frac{\text{A'}}{\text{B}}\Big)$ is equal to:
If $\mathrm{y}(\alpha)=\sqrt{2\left(\frac{\tan \alpha+\cot \alpha}{1+\tan ^{2} \alpha}\right)+\frac{1}{\sin ^{2} \alpha}}, \alpha \in\left(\frac{3 \pi}{4}, \pi\right)$ then $\frac{d y}{d \alpha}$ at $\alpha=\frac{5 \pi}{6}$ is
If the projections of a line segment on the $x, y$ and $z-$ axes in $3-$ dimensional space are $2, 3$ and $6$ respectively, then the length of the line segment is 
Choose the correct answer from the given four options. Projection vector of $\vec{\text{a}}$ on $\vec{\text{b}}$ is:
The minimum value of $f(a) = (2{a^2} - 3) + 3(3 - a) + 4$ is
The functioin $f\left( x \right) = \frac{x}{2} + \frac{2}{x}$ has a local minimum at  $X=$ ........