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If OA is equally inclined to OX,OY ,OZ a...

If OA is equally inclined to OX,OY ,OZ and if A is `sqrt(3)` units from the origin then the cordinates of A are

A

`(3,3,3)`

B

`(-1,1,-1)`

C

`(-1,1,1)`

D

`(1,1,1)`

Text Solution

Verified by Experts

The correct Answer is:
D
We have
`l=m=n=1/(sqrt(3))`
`:.vec(OA)=|vec(OA)|(lhati+mhatj+nhatk)`
`impliesvec(OA)=sqrt(3)(1/(sqrt(3))hati+1/(sqrt(3))hatj+1/(sqrt(3))hatk)=hati+hatj+hatk`
So, coordinates of A are `(1,1,1)`.
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OBJECTIVE RD SHARMA-THREE DIMENSIONAL COORDINATE SYSTEM -Exercise
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  6. A(3,2,0),B(5,3,2),(-9,6,-3) are the vertices of /\ ABC and AD is the b...

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  11. A vector vecr is equally inclined with the coordinates axes. If the ti...

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  12. If vecr is a vector of magnitude 21 and has direction ratios proporti...

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  13. The direction cosines of the lines bisecting the angle between the lin...

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  14. Find the coordinates of the foot of the perpendicular drawn from po...

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  15. The foot of the perpendicular drawn from a point with position vector ...

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  16. The projections of a directed line segment on the coordinate axes are ...

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  17. Let l1,m1,n1; l2,m2,n2 and l3,m3,n3 be the direction cosines of three ...

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  18. If P(x ,y ,z) is a point on the line segment joining Q(2,2,4)a n d ...

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  19. If O is the origin, O P=3 with direction ratios -1,2,a n d-2, then fin...

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  20. A mirror and a source of light are situated at the origin O and at ...

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