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The orthogonal projection A' of the poin...

The orthogonal projection A' of the point A with position vector `(1, 2, 3)` on the plane `3x-y+4z=0` is

A

`(-1, 3, -1)`

B

`(-(1)/(2), (5)/(2), 1)`

C

`((1)/(2), -(5)/(2), -1)`

D

`(6, -7, -5)`

Text Solution

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The correct Answer is:
(b)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
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  2. The three vectors hat i+hat j,hat j+hat k, hat k+hat i taken two at a ...

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  3. The orthogonal projection A' of the point A with position vector (1, 2...

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  4. The equation of the line passing through (1, 1, 1) and perpendicular t...

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  5. A variable plane at a distance of 1 unit from the origin cuts the axes...

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  6. The angle between the lines AB and CD, where A(0, 0, 0), B(1, 1, 1), C...

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  7. The shortest distance of a point (1, 2, -3) from a plane making interc...

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  8. A tetrahedron has vertices O(0,0,0),A(1,2,1),B(2,1,3),a n dC(-1,1,2), ...

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  9. The direction ratios of the line I1 passing through P(1, 3, 4) and per...

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  10. Equation of the plane through three points A, B and C with position ve...

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  11. OABC is a tetrahedron. The position vectors of A, B and C are I, i+j a...

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  12. The plane x-y-z=4 is rotated through an angle 90^(@) about its line of...

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  13. A(xy),(yz),A(zx) be the area of projections oif asn area a o the xy,yz...

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  14. Through a point P(h,k,l) a plane is drawn at righat angle to OP to mee...

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  15. The volume of the tetrahedron included between the plane 3x+4y-5z-60=0...

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  16. The angle between the lines whose direction cosines are given by the ...

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  17. The distance between the line r=2hat(i)-2hat(j)+3hat(k)+lambda(hat(i)-...

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  18. The cartesian equations of the plane perpendicular to the line (x-1)/(...

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  19. Let P(3,2,6) be a point in space and Q be a point on line vec r=( hat...

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  20. A plane makes interceptsOA, OB and OC whose measurements are a, b and ...

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