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If the direction cosines of a vector of ...

If the direction cosines of a vector of magnitude 3 are `<2/3, -a/3, 2/3>,a>0`, then the vector is :

A

`2hati+hatj+2hatk`

B

`2hati-hatj+2hatk`

C

`hati-2hatj+2hatk`

D

`hati+2hatj+2hatk`

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
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  2. Equation of line passing through the point (2,3,1) and parallel to the...

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  3. If the direction cosines of a vector of magnitude 3 are <2/3, -a/3, 2/...

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  4. Equation of line passing through the point (2,3,1) and parallel to the...

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  5. A unit vector parallel to the straight line: (x-2)/3=(3+y)/-1=(z-2)/-4...

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  6. The angle between a normal to the plane : 2x-y+2z-1=0 and the z axis i...

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  7. Find the coordinates of the Foot of the perpendicular drawn from the ...

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  8. The distance between the x axis and the point (3,12,5) is :

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  9. The shortest distance of the point (a,b,c) from the x-axis is

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  10. Equation of the plane perpendicular to the line x/1=y/2=z/3 and passin...

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  11. The line (x-2)/3=(y-3)/4=(z-4)/5 is parallel to the plane:

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  12. Prove that the angle between any two diagonals of a cube is cos^-1frac...

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  13. The line passing through the points (5, 1, a) and (3, b, 1) crosses th...

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  14. If the straight lines : (x-1)/k=(y-2)/2=(z-3)/3 and (x-2)/3=(y-3)/k=(z...

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  15. Let P(3, 2, 6) be a point in space and Q be a point on the line r=(ha...

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  16. A line with positive direction cosines passes through the pint P(2,-1,...

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  17. Let the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) lies in the plane x+3y-alp...

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  18. The projection of a vector on the three coordinate axes are 6, -3, 2, ...

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  19. A line AB in three-dimensional space makes angles 45^(@) and 120^(@) w...

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  20. Equation of the plane containing the straight line x/2=y/3=z/4 and per...

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