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Reduce the equation barr*(3hati - 4hatj ...

Reduce the equation `barr*(3hati - 4hatj + 12hatk) = 3` to the normal form and hence find the length of perpendicular from the origin to the plane.

A

`barr.((3)/(13)hati-(4)/(13)hatj+(12)/(13)hatk)=3`

B

`barr.((3)/(13)hati-(4)/(13)hatj+(12)/(13)hatk)=13`

C

`barr.((3)/(13)hati-(4)/(13)hatj+(12)/(13)hatk)=(3)/(13)`

D

`barr.((3)/(13)hati-(4)/(13)hatj+(12)/(13)hatk)=(13)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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NIKITA PUBLICATION-PLANE-MULTIOLE CHOICE QUESTIONS
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  2. Find the vector equation of the plane which is at a distance of 6 unit...

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  3. Reduce the equation barr*(3hati - 4hatj + 12hatk) = 3 to the normal fo...

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  4. Reduce the equation barr*(3hati - 4hatj + 12hatk) = 3 to the normal fo...

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  5. Equation of the plane is barr*(3hati - 4hatj + 12hatk) = 8 Find the ...

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  6. Equation of the plane is barr*(3hati - 4hatj + 12hatk) = 8 Find the ...

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  7. If a line joining (1 ,2 ,0) and (4 ,13 ,5 ) is perpendicular to aplan...

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  8. The direaction cosines of perpendicular from orgin to the plane barr.(...

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  9. The direction cosines of the normal to the plance 4x + 8y + z= 5 are

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  10. The vector equation of the plane barr=(2hati+hatk)+lamdahati+mu(hati+2...

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  11. Find the vector equation of the following planes in cartesian form : ...

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  12. Let a plane passing through point (-1 ,1 ,1) is parallel to the vecto...

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  13. The vector equation of the plance passing through the point (-1 ,2 , ...

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  14. Find the cartesian form of the equation of the plane. barr = (hati ...

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  15. The cartesian form of the equation of plane barr=(s+t)hati+(2+t)hatj+(...

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  16. The equation of plane passing through point (3 ,4 ,5) and parallel to...

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  17. Find the vector equation of the plane passing through the intersection...

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  18. The vector equation of the plane passing through the intersection of ...

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  19. The equation of plane passing through the intersection of the planes b...

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