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Find the position vector of a point A in...

Find the position vector of a point A in space such that`vec(OA)` is inclined at `60^@` to OX and at `45^@` to OY and `|vec(OA)|=10 units`.

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. If the x - coordinate of a point P on the line joining points Q(2,2,1)...

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  2. Find the distance of the point whose position vector is 2hati+hatj-hat...

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  3. Find the position vector of a point A in space such thatvec(OA) is inc...

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  4. Parametric equations of a line are x=-1+2t, y=3-4t and z=2+t. find the...

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  5. Parametric equations a line are x=2-3t, y=-1+2t and z=3+t. write down ...

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  6. Vector equations of a line if vecr=3hati-6hatj+7hatk+lambda(2hati-hatj...

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  7. Vector equation of a plane is vecr.(2hati+4hatj-3hatk)=5. Write down t...

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  8. What is the distance of the point (-1,2,1) from the plane 2x-3y+4z+5=0...

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  9. Find p if the plane x+y-2z+6=0 is parallel to the plane px+3y-6z-1=0.

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  10. Write the equation to the locus of a point which is always at a fixed ...

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  11. Find the vector equations to the locus of a point whose distance from ...

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  12. If the line drawn from the point (-2,-1,-3) meets a plane at right ang...

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  13. Write the distance of the plane 2x-y+2z+1=0 from the origin.

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  14. Write the direction of cosines of the line joining the poidnts (1,0,0)...

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  15. Write the vector equations of the plane throught the point (a,b,c) and...

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  16. If the cartesian equations of a line are : (3-x)/5=(y+4)/7=(2z-6)/4, w...

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  17. Distance of the point (2,5,-3) from the plane vec r.(6hat i-3 hat j+2 ...

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  18. Write down the direction cosines of the line whose equations are 5x-3=...

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  19. Write the sum of intercepts cut off by the plane vecr*(2hati+hatj-hatk...

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  20. If a line angles 90^@, 135^@, 45^@ with the positive x,y and z axis re...

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