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A line with positive direction cosines p...

A line with positive direction cosines passes through the point `P(2, – 1, 2)` and makes equal angles with the coordinate axes. The line meets the plane `2x + y + z = 9` at point Q. The length of the line segment PQ equals

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CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. The pair of lines whose direction cosines are given by the equation...

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

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  3. A line with positive direction cosines passes through the point P(2, –...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. The coordinates o the foot of the perpendicular drawn from the orig...

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  20. The point on the line (x-2)/1=(y+3)/(-2)=(z+5)/(-2) at a distance of 6...

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