Question
Write the value of $\hat{\text{i}}.(\hat{\text{j}}\times\hat{\text{k}}).+\hat{\text{j}}. (\hat{\text{k}}\times\hat{\text{i}}).+\hat{\text{k}}.(\hat{\text{i}} \times\hat{\text{j}}).$
✓
Answer
$\text{Value = 3}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The two vectors $\hat{\text{j}} + \hat{\text{k}}$ and $3\hat{\text{i}} - \hat{\text{j}} + 4\hat{\text{k}}$ represent the two sides AB and AC, respectively of a $\triangle \text{ABC},$ Find the length of the median through A.
→Write the value of $\tan^{-1}\bigg[2\sin\bigg(2\cos^{-1}\frac{\sqrt{3}}{2}\bigg)\bigg].$
→In the figure which are the Equal vectors?
What will be the order and degree of the differential equation $\frac{d^4 y}{d x^4}-4 \frac{d y}{d x}+4 y=5 \cos 3 x ?$
→Find all points of discontinuity of f, where f is defined by: $f\left( x \right) = \left\{ \begin{gathered} x + 1,\,\,if\,x \geq 1 \hfill \\ {x^2} + 1,\,\,if\,x < 1 \hfill \\ \end{gathered} \right.$
→If $\vec{a}$ is a vector and $m$ is a scalar quantity and $m \vec{a}=\overrightarrow{0}$ then what alternative values of $\vec{a}$ and $m$ are possible?
→If $\text{|A}| = 3 \text{ and } \text{A}^{-1} = \begin{bmatrix} 3 & -1 \\ -\frac{5}{3} & \frac{2}{3} \\ \end{bmatrix},$ then write the adj A.
→Classify the following as scalar and vector quantities.
Distance.
Distance.
Find the angle between the lines $\text{2x = 3y = – z and 6x = – y = – 4z.}$
→An electronic assembly consists of two subsystems, say, $A$ and $B$. From previous testing procedures, the following probabilities are assumed to be known:
$P(A$ fails$) = 0.2$
$P(B$ fails alone$) = 0.15$
$P(A$ and $B$ fail$) = 0.15$
Evaluate the following probabilities $P(A $ fails|$B$ has failed$).$
→$P(A$ fails$) = 0.2$
$P(B$ fails alone$) = 0.15$
$P(A$ and $B$ fail$) = 0.15$
Evaluate the following probabilities $P(A $ fails|$B$ has failed$).$