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The distance between the line vec r=(...

The distance between the line ` vec r=(2 hat i-2 hat j+3 hat k)+lambda( hat i- hat j+4 hat k)` and plane ` vec rdot( hat i+5 hat j+ hat k)=5.`

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The distance between the line vec r=2 hat i-2 hat j+3 hat k+lambda( hat i- hat j+4 hat k) and the plane vec rdot( hat i+5 hat j+ hat k)=5 is a. (10)/(3sqrt(3)) b. (10)/9 c. (10)/3 d. 3/(10)

Find the angle between the line vec r = (2 hat i-hat j +3 hat k)+ lambda (3 hat i-hat j+2 hat k ) and the plane vec r.(hat i + hat j + hat k)=3

Find the angle between the lines vec r= dot( hat i+2 hat j- hat k)+lambda( hat i- hat j+ hat k) and the plane vec r.(2 hat i- hat j+ hat k)=4.

Find the angle between the line -> r=(2 hat i+3 hat j+9 hat k)+lambda(2 hat i+3 hat j+4 hat k) and the plane -> r(dot( hat i+ hat j+ hat k))=5.

Find the shortest distance between the lines vec r=( hat i+2 hat j+ hat k)+lambda( hat i- hat j+ hat k) and vec r=(2 hat i- hat j- hat k)+mu(2 hat i+ hat j+2 hat k)

Find the shortest distance between the lines: vec r= hat i+2 hat j+3 hat k+lambda( hat i-3 hat j+2 hat k)a n d\ vec r=4 hat i+5 hat j+6 hat k+mu(2 hat i+3 hat j+ hat k)dot

Find the shortest distance between the lines vec r=( hat i+2 hat j+ hat k)+lambda( hat i- hat j+ hat k) and vec r=2 hat i- hat j- hat k+mu(2 hat i+ hat j+2 hat k)

Find the distance of the point with position vector -hat i-5 hat j-10 hat k from the point of intersection of the line vec r=(2 hat i- hat j+2 hat k)+lambda(3 hat i+4 hat j+2 hat k) with the plane vec rdot(( hat i- hat j+ hat k)=5.

Find the distance of the point (-1,\ -5,\ -10) , from the point of intersection of the line vec r=(2 hat i- hat j+2k)+lambda\ (3 hat i+4 hat j+2 hat k) and the plane vec rdot( hat i- hat j+ hat k)=5

Find the distance of the point (-1,-5,-10) from the point of intersection of line vec r=2 hat i- hat j+2 hat k+lambda(3 hat i+4 hat j+2 hat k) and the plane vec r ( hat i- hat j+ hat k)=5.

CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. The Cartesian equation of the plane vec r=(1+lambda-mu) hat i+(2-l...

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  2. Find the angle between the lines vec r=3 hat i+2 hat j-4 hat k+lambda...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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