List of top Mathematics Questions on Vector Algebra asked in SRMJEEE

Consider points A,B,C and D with position vectors \(7\vec{i}-4\vec{j}+7\vec{k}, \vec{i}-6\vec{j}+10\vec{k}, -\vec{i}-3\vec{j}+4\vec{k}\) and \(5\vec{i}-\vec{j}+5\vec{k}\) respectively, then ABCD is a

The centre and radius of the sphere \(|2\vec{r}=(J\vec{i}-\vec{j}+4\vec{k})|=4\) are __________

If angle between \(\overrightarrow{i}-2\overrightarrow{j}+3\overrightarrow{k}\) and \(2\overrightarrow{i}+\overrightarrow{j}+3\overrightarrow{k}\) is \(\theta\) then \(\sin\theta\) is equal to

If \(\vec{a}=2\hat{i}+\hat{j}-8\hat{k}\) and \(\vec{b}=\hat{i}+3\hat{j}-4\hat{k}\), then the magnitude of \(\vec{a}+\vec{b}\) is