Question
Two vectors $\vec{a}$ and $\vec{b}$ are called equal vectors if their ___________ .

Answer

magnitudes and directions are the same.

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

If $\vec{a}$ and $\vec{b}$ are two non-zero vactors and $\vec{a} \times \vec{b}=0$ if and only if $\vec{a}$ and $\vec{b}$ are. ___________ .
Fill in the blanks.
$\frac{\text{dy}}{\text{dx}}+\frac{\text{y}}{\text{x}\log\text{x}}=\frac{1}{\text{x}}$ is an equation of the type _________.
Fill in the blanks.
A corner point of a feasible region is a point in the region which is the _________ of two boundary lines.
Fill in the blanks.
The solution of the differential equation $\text{ydx}+(\text{x}+\text{xy})\text{dy}=0$ is ________.
A mirror in the shape of an ellipse represented by $\frac{\text{x}^2}{9}+-\frac{\text{y}^2}{4}=1$ was hanging on the wall. Arun and his sister were playing with ball inside the house, even their mother refused to do so. All of sudden, ball hit the mirror and got a scratch in the shape of line represented by $\frac{\text{x}}{3}+\frac{\text{y}}{2}=1$

Based on the above information, answer the following questions.
  1. Point(s) of intersection of ellipse and scratch (straight line) is (are).
  1. (0, 2), (3, 0)
  2. (2, 0), (3, 0)
  3. (2, 3), (0, 0)
  4. (0, 3), (3, 0)
  1. Area of smaller region bounded by the ellipse and line is represented by.
  1. The value of $\frac{2}{3}\int\limits_{0}^{3}\sqrt{9-\text{x}^2}\text{dx}$ is.
    1. $\frac{\pi}{2}$
    2. $\pi$
    3. $\frac{3\pi}{2}$
    4. $\frac{\pi}{4}$
  1. The value of $2\int\limits_{0}^{3}\bigg(1-\frac{\text{x}}{3}\bigg)\text{dx}$ is.
    1. 0
    2. 1
    3. 2
    4. 3
  1. Area of the smaller region bounded by the mirror and scratch is.
  1. $3\Big(\frac{\pi}{2}+1\Big)\text{ sq.units}$
  2. $\Big(\frac{\pi}{2}+1\Big)\text{ sq.units}$
  3. $\Big(\frac{\pi}{2}-1\Big)\text{ sq.units}$
  4. $3\Big(\frac{\pi}{2}-1\Big)\text{ sq.units}$
Fill in the blanks.
The value of the expression $|\vec{\text{a}}\times\vec{\text{b}}|^2+(\vec{\text{a}}\cdot\vec{\text{b}})^2$ is ________.
If $P ( A )=\frac{6}{11}, P ( B )=\frac{5}{11}$ and $P ( A \cup B )=\frac{7}{11}$ then value of $P ( A \cap B )$ will be ____________ .
The general solution of the differential equation $\frac{d y}{d x}=\frac{1+y^2}{1+x^2}$ will be ___________ .
If $A =\left[\begin{array}{ccc}0 & a & 1 \\ -1 & b & 1 \\ -1 & c & 0\end{array}\right]$ has a skew symmetric matrix, then value of $(a+b+c)^2$ ________
The condition of parallelism of two lines is __________ .