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Question
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
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
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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.
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.
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