Practicing Success
Practicing Success
CUET Preparation Today
The points \(A\left(2\hat{i}-\hat{j}+\hat{k}\right),B\left(\hat{i}-3\hat{j}-5\hat{k}\right),C\left(3\hat{i}-4\hat{j}-4\hat{k}\right)\) are the vertices of a |
Square Triangle Rectangle None |
Triangle |
| \(\begin{aligned}\vec{AB}&=-\hat{i}-2\hat{j}-6\hat{k},\vec{BC}=2\hat{i}-\hat{j}+\hat{k},\vec{CA}=-\hat{i}+3\hat{j}+5\hat{k}\\& \text{Note that }\vec{BC}\cdot \vec{CA}=0\\& \text{Therefore, }\vec{BC} \text{ is perpendicular to } \vec{CA}\\ &\text{Hence, }\triangle ABC \text{ is a right angled triangle}\end{aligned}\) |
