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If vectors hati-2xhatj-3yhatk and hati+ ...

If vectors `hati-2xhatj-3yhatk and hati+ 3 x hatj + 2yhatk` are orthogonal to each other, then find the locus of th point (x,y).

Text Solution

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It is given that vectors `hati - 2xhatj - 3yhatk and hati + 3x hatj + 2yhatk` are orthogonal , therefore,
`(hati-2xhatj - 3yhatk).(hati+3xhatj+2yhatk)=0`
` or 1-6x^(2)-6y^(2)=0`
`or bx^(2)+6y^(2)=1` whiche is a circle.
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