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The pair of lines whose direction cos...

The pair of lines whose direction cosines are given by the equations `3l+m+5n=0a n d6m n-2n l+5l m=0` are a. parallel b. perpendicular c. inclined at `cos^(-1)(1/6)` d. none of these

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CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. The direction cosines of a line satisfy the relations lamda(l+m)=nandm...

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  2. The intercepts made on the axes by the plane which bisects the line jo...

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  3. The pair of lines whose direction cosines are given by the equation...

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  4. If the distance of the point P(1,-2,1) from the plane x+2y-2z=alpha,...

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  5. A line with positive direction cosines passes through the point P(2, -...

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  6. The value of k such that (x-4)/1=(y-2)/1=(z-k)/2 lies in the plane 2x-...

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  7. The equation of the plane passing through lines (x-4)/1=(y-3)/1=(z-...

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  8. The line through hat i+3 hat j+2 hat k and | to the line vec r=( hat...

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  9. The equation of the plane through the line of intersection of the plan...

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  10. The three planes 4y+6z=5,2x+3y+5z=5 and 6x+5y+9z=10 (a) meet in a poi...

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  11. Given vec alpha=3hati+hatj+2hatk and vec beta=hati-2hatj-4hatk are the...

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  12. Find the following are equations for the plane passing through the p...

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  13. The shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3)/(1)...

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  14. L1a n dL2 are two lines whose vector equations are L1: vec r=lambda((c...

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  15. Value of lambda such that the line (x-1)/2=(y-1)/3=(z-1)/lambda is | t...

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  16. Equation of the plane passing through the points (2,2,1)a n d(9,3,6)...

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  17. The equation of a plane which passes through the point of intersection...

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  18. If the foot of the perpendicular from the origin to plane is P(a ,b ...

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  19. Equation of a line in the plane pi =2x-y+z-4=0 which is perpendicular...

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  20. The intercept made by the plane vec r . vec n=q on the x-axis is a. q...

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