If i ,j,k are the unit vectors and mutually perpendicular, then [… - Vidyadip

MCQ

If $\hat{i} ,\hat{j},\hat{k} $ are the unit vectors and mutually perpendicular, then [$\hat{i} ,\hat{k},\hat{j} $] is equal to

A
$0$
✓
$-1$
C
1
D
2

✓

Answer

Correct option: B.

$-1$

(B) $[\hat{i} \hat{k} \hat{j}]=\hat{i} \cdot(\hat{k} \times \hat{j})=\hat{i} \cdot(-\hat{i})=-1$

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

Explore more

More "MCQ" from Vectors→Vectors — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

If the angle between the vectors $\text{x}\hat{\text{i}}+3\hat{\text{j}}-7\hat{\text{k}}$ and $\text{x}\hat{\text{i}}-\text{x}\hat{\text{j}}+4\hat{\text{k}}$ is acute, then $x$ lies in the interval:

If area bounded by the curves $y^2=4 a x$ and $y=m x$ is $\frac{a^2}{3}$, then the value of $m$ is

The Boolean Expression $(p \wedge \sim q) \vee q \vee(\sim p \wedge q)$ is equivalent to :

The function $f(x)=x^x$ is minimum at $x=$ ______

If $\text{y}=\tan^{-1}\Big(\frac{\sin\text{x}+\cos\text{x}}{\cos\text{x}-\sin\text{x}}\Big),$ then $\frac{\text{dy}}{\text{dx}}$ is equals to:

If $\sin ^{-1}\left(x^3+y^3\right)=$ a then $\frac{ d y}{ d x}=$____

The p.d.f. of a random variable X is
$\begin{aligned}\mathrm{f}(x) & =\frac{1}{5}, & & 0 \leq x \leq 5 \\& =0, & & \text { otherwise }\end{aligned}$
then the value of $\mathrm{P}(1<\mathrm{X}<3)$ is

The line $\frac{x-2}{3}=\frac{y-3}{4} ; z=4$ is parallel to

If $\theta$ is the angle between the unit vectors $\overline{ a }$ and $\overline{ b }$, then $\cos \frac{\theta}{2}=$

$\cos \left[\tan ^{-1} \frac{1}{3}+\tan ^{-1} \frac{1}{2}\right]=$