TS EAMCET · Maths · Vector Algebra
If the position vectors of the vertices of a triangle are \(2 \hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}}, \quad \hat{\mathbf{i}}-3 \hat{\mathbf{j}}-5 \hat{\mathbf{k}}\) and \(3 \hat{\mathbf{i}}-4 \hat{\mathbf{j}}-4 \hat{\mathbf{k}}\), then the triangle is
- A equilateral
- B isosceles
- C right angled isosceles
- D right angled
Answer & Solution
Correct Answer
(D) right angled
Step-by-step Solution
Detailed explanation
Let \(\mathbf{A}=2 \hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}}, \mathbf{B}=\hat{\mathbf{i}}-3 \hat{\mathbf{j}}-5 \hat{\mathbf{k}}\) \(\mathbf{C}=3 \hat{\mathbf{i}}-4 \hat{\mathbf{j}}-4 \hat{\mathbf{k}}\)…
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