MCQ
If $\big|\vec{\text{a}}\times\vec{\text{b}}\big|=4,\big|\vec{\text{a}}.\vec{\text{b}}\big|=2,$ then $|\vec{\text{a}}|^2\big|\vec{\text{b}}\big|^2=$
  • A
    $6$
  • B
    $2$
  • $20$
  • D
    $8$

Answer

Correct option: C.
$20$

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

The points of extremum of $\int_0^{{x^2}} {\frac{{{t^2} - 5t + 4}}{{2 + {e^t}}}} \,dt$ are
If $y = {\tan ^{ - 1}}\left( {{{{x^{1/3}} + {a^{1/3}}} \over {1 - {x^{1/3}}{a^{1/3}}}}} \right)$, then ${{dy} \over {dx}} = $
Differential coefficient of ${\tan ^{ - 1}}\left( {{x \over {1 + \sqrt {1 - {x^2}} }}} \right)$ w.r.t ${\sin ^{ - 1}}x,$ is
Choose the correct answers from the given four options:
If $\text{f(x)}=\begin{cases}\text{mx}+1,&\text{if x}\leq\frac{\pi}{2}\\\sin\text{x}+\text{n},&\text{if x}>\frac{\pi}{2}\end{cases},$ is continuous at $\text{x}=\frac{\pi}{2},$ then:
A bag contains $12$ balls out of which $x$ are white. If one ball is drawn at random, what is the probability it will be a white ball?
The value of $\alpha$ for which $4 \alpha \int\limits_{-1}^{2} \mathrm{e}^{-\alpha \mathrm{|x|} } \mathrm{d} \mathrm{x}=5,$ is 
Choose the correct answer from the given four options:
The maximum value of $\sin\text{x}\cdot\cos\text{x}$ is:
$\int\limits^{\pi}_0\frac{1}{1+\sin\text{x}}\text{ dx}$ equals:
Let $M$ and $N$ be two $3 \times 3$ matrices such that $M N=N M$. Further, if $M \neq N^2$ and $M^2=N^4$, then

$(A)$ determinant of $\left( M ^2+ MN ^2\right)$ is $0$

$(B)$ there is a $3 \times 3$ non-zero matrix $U$ such that $\left( M ^2+ MN ^2\right) U$ is the zero matrix

$(C)$ determinant of $\left( M ^2+ MN ^2\right) \geq 1$

$(D)$ for a $3 \times 3$ matrix $U$, if $\left( M ^2+ MN ^2\right) U$ equals the zero matrix then $U$ is the zero matrix

The area included between the parabolas $y^2=4 x$ and $x^2=4 y$ is :