List of top Mathematics Questions on Vector Algebra asked in LPUNEST

If 3 pens cost 45, what is the cost of 10 pens?
If the sum of a certain \(n\) number of terms of the A.P. \(25, 22, 19, \ldots\) is \(116\), then the last term is:
The distance between line \( \vec r =2\hat i-2\hat j+3\hat k+\lambda(\hat i-\hat j+4\hat k) \) and plane \( \vec r\cdot(\hat i+\hat j+\hat k)=5 \) is
The vectors \(\overrightarrow{AB}=-3\hat{i}+4\hat{k}\) and \(\overrightarrow{AC}=5\hat{i}-2\hat{j}+4\hat{k}\) are the sides of a triangle \(ABC\). The length of the median through \(A\) is