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The angle between i and line of the inte...

The angle between `i` and line of the intersection of the plane ` vec r . ( hat i+2 hat j+3 hat k)=0` and `vec r . (3 hat i+3 hat j+ hat k)=0` is a. `cos^(-1)(1/3)` b. `cos^(-1)(1/(sqrt(3)))` c. `cos^(-1)(2/(sqrt(3)))` d. none of these

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CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Two lines L1: x=5, y/(3-alpha)=z/(-2) and L2: x=alpha, y/(-1)=z/(2-alp...

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  2. The projection of point P( vec p) on the plane vec r. vec n=q is ( v...

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  3. The angle between i and line of the intersection of the plane vec r ....

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  4. From the point P(a ,b ,c), let perpendicualars P La n dP M be drawn to...

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  5. The plane vec rdot vec n=q will contain the line vec r= vec a+lambd...

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  6. Consider triangle A O B in the x-y plane, where A-=(1,0,0),B-=(0,2,0)a...

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  7. Let vec a= hat i+ hat j and vec b=2 hat i- hat k , then the point of ...

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  8. The line (x+6)/5=(y+10)/3=(z+14)/8 is the hypotenuse of an isosceles ...

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  9. The equation of the plane which passes through the line of intersect...

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  10. The coordinates of the point P on the line vec r=( hat i+ hat j+ h...

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  11. The ratio in which the line segment joining the points whose positio...

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  12. The number of planes that are equidistant from four non-coplanar point...

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  13. In a three-dimensional coordinate system, P ,Q , and Rare images of a...

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  14. A plane passing through (1,1,1) cuts positive direction of coordinates...

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  15. If lines x=y=za n dx=y/2=z/3 and third line passing through (1,1,1) fo...

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  16. The point of intersection of the line passing through (0,0,1) and ...

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  17. Shortest distance between the lines (x-1)/1=(y-1)/1=(z-1)/1a n d(x-...

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  18. Distance of point P( vec p) from the plane vec rdot vec n=0 is a. | v...

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  19. The reflection of the point vec a in the plane vec rdot vec n=q is...

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  20. Line vec r= vec a+lambda vec b will not meet the plane vec rdot vec ...

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