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GUJCET · Maths · Vector Algebra
If \(|\vec{x}|=|\vec{y}|=|\vec{x}+\vec{y}|=1\) then, \(|\vec{x}-\vec{y}|=\) _________ .
- A \(\sqrt{2}\)
- B \(\sqrt{3}\)
- C 1
- D 3
Answer & Solution
Correct Answer
(B) \(\sqrt{3}\)
Step-by-step Solution
Detailed explanation
\( |\vec{x} + \vec{y}|^2 + |\vec{x} - \vec{y}|^2 = 2(|\vec{x}|^2 + |\vec{y}|^2) \) \( (1)^2 + |\vec{x} - \vec{y}|^2 = 2((1)^2 + (1)^2) \)
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