Question Text
Question 1 :
If the points $A$ and $B$ are $\left( 1,2,-1 \right)$ and $\left( 2,1,-1 \right)$ respectively, then $\vec { AB } $ is
Question 3 :
Let $ABCD$ be a parallelogram whose diagonals intersect at $P$ and $O$ be the origin, then $\vec { OA } +\vec { OB } +\vec { OC } +\vec { OD } $ equals
Question 5 :
Let $a=\hat{i}+2\hat j+3\hat k$ and $b=3\hat i+\hat j$. Find the unit vector in the direction of the $a+b$.
Question 6 :
For three vectors $\overrightarrow{u},\overrightarrow{v},\overrightarrow{w}$ which of the following expressions is not equal to any of remaining is
Question 7 :
The position vectors of the points A,B,C are $\overline { i } + 2 \overline { j } - \overline { k } , \overline { i } + \overline { j } + \overline { k } , 2 \overline { i } + 3 \overline { j } + 2 \overline { k }$ respectively. If A is chosen as the origin then the position vectors of B and C are
Question 9 :
At what value of the parameter n the vectors $\overrightarrow{a}=\hat{i}+2\hat{j}+4\hat{k}$ and $\overrightarrow{a}=\hat{i}+2\hat{j}+2n\hat{k}$ are equal
Question 10 :
In a triangle ABC, if $ 2\vec { AC } =3\vec { CB }$, then $2\vec { OA } +3\vec { OB }$ equals ?<br/>