Vector Algebra Question 176

Question: If the position vectors of the vertices of a triangle be $ 6\mathbf{i}+4\mathbf{j}+5\mathbf{k},,4\mathbf{i}+5\mathbf{j}+6\mathbf{k} $ and $ 5\mathbf{i}+6\mathbf{j}+4\mathbf{k}, $ then the triangle is

Options:

A) Right angled

B) Isosceles

C) Equilateral

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • Equilateral, since each side is of length $ \sqrt{6}. $