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If P is a point in space such that OP=12...

If `P` is a point in space such that `OP=12` and `vec(OP)` is inclied at angle of `45^(@)` and `60^(@)` with OX and OY respectively, then the position vector of `P` is

A

`6hati+thatj+-6sqrt(2)hatk`

B

`6hati+6sqrt(2)hatj+-6hatk`

C

`6sqrt(2)hati+6sqrt(j)+-6hatk`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
NA
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OBJECTIVE RD SHARMA-THREE DIMENSIONAL COORDINATE SYSTEM -Exercise
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  3. 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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  5. If a line makes angles alpha,beta,gamma with the positive direction of...

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  6. If P is a point in space such that OP=12 and vec(OP) is inclied at ang...

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  7. A vector vec O P is inclined to O Xa t45^0a n dO Ya t60^0 . Find the ...

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

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

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

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

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

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

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

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

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

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

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  18. Find the angel between any two diagonals of a cube.

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  19. A line makes angles alpha,beta,gammaand deltawith the diagonals of a...

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  20. If P(0,1,2),\ Q(4,-2,1)a n d\ O(0,0,0) are three points then P O Q= ...

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