The vectors 3^i−2^j+^k,^i−3^j+5^k and 2^i+^j−4^k form the sides of a triangle, then triangle is
A
An acute angled triangle
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B
An obtuse angled triangle
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C
An equilateral triangle
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D
A right angled triangle
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Solution
The correct option is A A right angled triangle We take the modulus of the sides. We have the modulii as √14,√35,√21. We thus see that the sum of the squares of two sides is equal to the square of the third side and thus, the triangle is a right angled triangle.