Download App

VECTOR ALGEBRA — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsVECTOR ALGEBRA5 Marks
Question
In Figure ABCD is a regular hexagon, which vectors are:
  1. Collinear.
  2. Equal.
  3. Co-initial.
  4. Collinear but not equal.
✓

Answer

  1. Vectors having the same or parallel supports are called collinear vector. In the given figure the collinear vectors are,
$\vec{\text{a}},\ \vec{\text{d}};\ \vec{\text{x}},\ \vec{\text{z}},\ \vec{\text{b}};\ \vec{\text{c}},\ \vec{\text{y}}$
  1. vectors having the same magnitude and direction are called equal vector. In the given figure the equal vectors are,
$\vec{\text{b}},\ \vec{\text{x}};\ \vec{\text{c}},\ \vec{\text{y}};\ \vec{\text{a}},\ \vec{\text{d}}$
  1. Vectors having the same initial point are called co-initial vector. In the given figure the co-initial vectors are,
$\vec{\text{a}},\ \vec{\text{y}},\ \vec{\text{z}}$
  1. The vectors which are collinear but not equal are $\vec{\text{b}},\ \vec{\text{z}};\ \vec{\text{x}},\ \vec{\text{z}}$

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 "5 Marks Questions" from VECTOR ALGEBRA→VECTOR ALGEBRA — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Prove that the function $f : R → R$ defined by $f (x) = 2x + 5$ is one-one.
→
Find the area of the ragion bounded by $x^2+ 16y = 0$ and its latusrectum.
→
$\int\sqrt{\tan\text{x}}\text{ dx}$
Hint: Put $tanx = t^2$
→
Find the maximum and the minimum values, if any, without using derivaives of the following functions:
$f(x) = x^3 - 1$ on $R.$
→
Verify Rolle's theorem for the following function on the indicated intervals$\text{f}(\text{x})=\sin2\text{x}\text{ on }\Big[0,\frac{\pi}{2}\Big]$
→
Find the absolute maximum and minimum values of the function f given by $f(x) = \cos^2 x + \sin x, x \in [0, \pi]$
→
The random variable $X$ can take only the values $0,1,2$. Given that $P(X=0)=P(X=1)=p$ and that $E\left(X^2\right)=E[X]$, find the value of $p$.
→
A spherical ball of salt is dissolving in water in such a manner that the rate of decrease of the volume at any instant is propotional to the surface. Prove that the radius is decreasing at a constant rate.
→
If $\text{A}=\begin{bmatrix}1&0&2\\0&2&1\\2&0&3\end{bmatrix},$ then show that A is a root of the polynomial $f(x) = x^3 - 6x^2 + 7x + 2$.
→
The decay rate of radium at any time t is proportional to its mass at that time. Find the time when the mass will be halved of its intial mass.
→