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Find the equation of a line passing thro...

Find the equation of a line passing through the point `(2hati-3hatj-5hatk)` and perpendicular to the plane`vecr.(6hati-3hatj+5hatk) +2=0`. Also find the point of intersection of this line and the plane.

A

`barr=6hati-3hatj+5hatk+lambda(2hati+3hatj-5hatk)`

B

`barr=(6hati-3hatj+5hatk)+lambda(2hati-3hatj-5hatk)`

C

`barr=(2hati-3hatj-5hatk)+lambda(6hati+3hatj-5hatk)`

D

`barr=(2hati-3hatj-5hatk)+lambda(6hati-3hatj+5hatk)`

Text Solution

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The correct Answer is:
D
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TARGET PUBLICATION-PLANE-CRITICAL THINKING
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  3. Find the equation of a line passing through the point (2hati-3hatj-5h...

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  4. Find the vector equation of a line passing through 3 hat i-5 hat j+...

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  5. The equation of a line passing through point (1,2,3) and perpendicular...

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  6. The equation of the line passing through (1, 2, 3) and parallel to the...

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  7. If the angle between the planes barr.(xhati+hatj-hatk)=4" and "barr.(h...

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  8. For any four points O(0,0,0),P(1,2,1),Q(2,3,0),R(0,1,-1), the angle be...

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  9. The active angle between the plane 2x+3y-z+7=0 and X-axis is

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  10. If the angle between the line (x-1)/(1)=(y-2)/(k)=(z+3)/(4) and the pl...

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  11. Equation of a line and plane are respectively (x-1)/(2)=(y)/(3)=(z-3)/...

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  12. Equation of a line and a plane are respectively (x+3)/(2)=(y-4)/(3)=(z...

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  13. If line (x-3)/(2)=(y-4)/(3)=(z-5)/(4) lines in the plane 4x+4y-cz-d=0...

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  14. If the line (x-1)/(2)=(y-1)/(3)=(z+2)/(2) lies in the plane x+By-3z+D=...

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  15. Find the vector equation of the plane in which the lines vecr=hati+ha...

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  16. The equation of the plane containing lines (x)/(1)=(y-2)/(2)=(z+3)/(3)...

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  17. Find the equation of the plane containing the lines (x-5)/4=(y-7)/4...

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  18. The plane containing lines (x+1)/(3)=(y+3)/(5)=(z+5)/(7)" and "(x-2)/...

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  19. If lines (x+l)/(3)=(y+3)/(5)=(z+5)/(7) and (x-2)/(1)=(y-4)/(3)=(z-6)/(...

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  20. If the lines (x-2)/(1)=(y-4)/(4)=(z-6)/(k) and (x+1)/(3)=(y+3)/(5)=(z...

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