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Let L be the line of intersection of t...

Let L be the line of intersection of the planes `2x""+""3y""+""z""=""1` and `x""+""3y""+""2z""=""2` . If L makes an angles ` alpha ` with the positive x-axis, then cos` alpha ` equals

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CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Find the angle between the lines vec r=3 hat i+2 hat j-4 hat k+lambda...

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  2. The distance between the line vec r=(2 hat i-2 hat j+3 hat k)+lambd...

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  3. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

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  4. Statement 1: there exists a unique sphere which passes through the ...

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  5. Statement 1: There exist two points on the (x-1)/1=y/(-1)=(z+2)/2 w...

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  6. Statement 1: The shortest distance between the lines x/(-3)=(y-1)/1=(z...

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  7. Find the number of sphere of radius r touching the coordinate axes...

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  8. Find the distance of the z-axis from the image of the point M(2-3,3...

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  9. A line with direction cosines proportional to 1,-5, a n d-2 meets li...

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  10. If the planes vec rdot( hat i+ hat j+ hat k)=q1, vec rdot( hat i+2a h...

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  11. The equation of a line passing through the point vec a parallel to ...

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  12. A straight line L on the xy-plane bisects the angle between O Xa n dO ...

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  13. Statement 1: Vector vec c=5 hat i+7 hat j+2 hat k is along the bisect...

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  14. The equation of the line x+y+z-1=0, 4x+y-2z+2=0 written in the symmetr...

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  15. The equation of two straight lines are (x-1)/2=(y+3)/1=(z-2)/(-3)a n...

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  16. Statement 1: Lines vec r= hat i+ hat j- hat k+lambda(3 hat i- hat j)a...

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  17. Statement 1: Line (x-1)/1=(y-0)/2=(z2)/(-1) lies in the plane 2x-3y-4z...

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  18. What is the equation of the plane which passes through the z-axis and ...

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  19. Statement 1: let A( vec i+ vec j+ vec k)a n dB( vec i- vec j+ vec k) b...

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  20. Statement 1: Let theta be the angle between the line (x-2)/2=(y-1)/(-3...

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