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Find the vector and cartesian equations of a plane which is at a distance of 18 units from the origin and which is normal to the vector ` 2veci+7vecj+8veck ` .

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The correct Answer is:
` 54sqrt(13) `
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FULL MARKS-APPLICATIONS OF VECTOR ALGEBRA-Additional Questions Solved
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  15. Derive the equation of the plane in the intercept form.

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  16. Find the Cartesian form of the equation of the plane vec(r)=(s-2t)hat(...

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  17. Show that the straigh lines vecr=(veci+vecj-veck)+lambda(3veci-vecj)...

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  18. If the straight lines (x-1)/(2)=(y+1)/(lamda)=(z)/(2)and(x+1)/(5)=(y+1...

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  20. Show that the lines (x+3)/(-3)=(y-1)/(1)=(z-5)/(5) and (x+1)/(-1)...

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