Download App

11. three dimension geometry — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths11. three dimension geometry1 Mark
MCQ
Image of the point with position vector $2\hat i + \hat j + 3\hat k$ in the line whose vector equation is $\vec r = \hat j - 2\hat k + \lambda \left( {\hat i + \hat j - \hat k} \right)$ has the position vector 
  • ✓
    $ - 4\hat i\, - \,\hat j\, - 5\hat k$
  • B
    $ - 4\hat i\, - \,5\hat j\, - \hat k$
  • C
    $ - \hat i\, - \,4\hat j\, - 5\hat k$
  • D
    $ - 4\hat i\, + \,\hat j\, - 5\hat k$
✓

Answer

Correct option: A.
$ - 4\hat i\, - \,\hat j\, - 5\hat k$
a

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 "M.C.Q (1 Marks)" from 11. three dimension geometry→11. three dimension geometry — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Maximize Z = 11 x + 8y subject to $\text{x}\leq4,\text{y}\leq6,\text{x}+\text{y}\leq6,\text{x}\geq0,\text{y}\geq0.$
→
$\left| {\,\begin{array}{*{20}{c}}{bc}&{bc' + b'c}&{b'c'}\\{ca}&{ca' + c'a}&{c'a'}\\{ab}&{ab' + a'b}&{a'b'}\end{array}\,} \right|$ is equal to
→
Find the values of $\sin \left(\frac{\pi}{3}-\sin ^{-1}\left(-\frac{1}{2}\right)\right)$ is equal to
→
Let $f(x) = \left\{ {\begin{array}{*{20}{c}}
  {{x^2}\ln x,\,x > 0} \\ 
  {0,\,\,\,\,\,\,\,\,\,\,\,\,\,x = 0} 
\end{array}} \right\}$, Rolle’s theorem is applicable to $ f $ for $x \in [0,1]$, if $\alpha = $
→
Let R be the relation in the set N given by R = {(a, b) : a = b – 2, b > 6}. Choose
the correct answer.
  1. $(2,4)\in\text{R}$
  2. $(3,8)\in\text{R}$
  3. $(6,8)\in\text{R}$
  4. $(8,7)\in\text{R}.$
→
The volume of a spherical balloon is increasing at the rate of  $40$  cubic centrimetre per minute. The rate of change of the surface of the balloon at the instant when its radius is $8$  centimetre, is ........ $sq \,cm/\min$.
→
The probability that a randomly selected $2$ digit number belongs to the set $\left(n \in N:\left(2^{n}-2\right)\right.$ is a multiple of $3\, )$ is equal to:
→
Which one of the following relations on $R$ is an equivalence relation?
→
If $\text{f(x)}=\begin{cases}\frac{|\text{x}+2|}{\tan^{-1}(\text{x}+2)}, & \text{x}\neq-2\\2, & \text{x}=-2\end{cases},$ then f(x) is:
  1. Continuous at x = -2
  2. Not continuous at x = -2
  3. Diffrentiable at x = -2
  4. Continuous but nit derivable at x = -2
→
If $A = \left[ {\begin{array}{*{20}{c}}1&3\\2&1\end{array}} \right]$, then determinant of ${A^2} - 2A$ is
→