InterviewSolution
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InterviewSolution
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The sum and diffrence of two perpendicular vector of equal length areA. Perpendicular to each other and of equal length.B. Perpendicular to each other and of different lengthC. Of equal length and have an obtuse angle between themD. Of equal length and have an acute angle between them |
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Answer» Correct Answer - A Given `|vec(A)|=|vec(B)|` or `A=B` Sum `vec(R )=vec(A)+vec(B) rArr |vec(R )|=sqrt(A^(2)+B^(2))=sqrt(2A)` Difference `vec(S)=vec(A)-vec(B) rArr |vec(S)|=sqrt(A^(2)+B^(2))=sqrt(2A)` `alpha_(1)=45^(@), alpha_(2)=45^(@)` Hence, `vec(R )` and `vec(S)` will be perpendicular and also of equal lengths. |
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