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The position vectors of points a and b a...

The position vectors of points a and b are `hat(i)-hat(j)+3hat(k) and 3hat(i)+3hat(j)+3hat(k)` respectively. The equation of plane is `rcdot(5hat(i)+2hat(j)-7hat(k))+9=0`. The points a and b

A

on the same sides of the plane

B

parallel of the plane

C

on the opposite sides of the plane

D

None of these

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The correct Answer is:
(c)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. The coordinates of the point P on the line vec r=( hat i+ hat j+ ha...

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  2. Find 3-dimensional vectors vec v1,vec v2,vec v3 satisfying vec v1* ve...

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  3. The position vectors of points a and b are hat(i)-hat(j)+3hat(k) and 3...

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  4. A, B, C and D are four points in space. Using vector methods, prove th...

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  5. Find the value of x Equation is x+2=9

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  6. If the three planes rcdotn1=p1, rcdotn2=p2 and rcdotn3=p3 have a commo...

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  7. A pentagon is formed by cutting a triangular corner from a rectangular...

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  8. In a three-dimensional coordinate system, P ,Q ,a n dR are images o...

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  9. A plane 2x+3y+5z=1 has a point P which is at minimum distance from lin...

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  10. Evaluate int x^5 dx

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  11. A cube C={(x, y, z)|o le x, y, zle1} is cut by a sharp knife along the...

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  12. A ray of light is sent through the point P(1,2,3) and is reflected on ...

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  13. Find dy/dx if 2x-3sinx=2y

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  14. The shortest distance between any two opposite edges of the tetrahedro...

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  15. The angle between the pair of planes represented by equation 2x^(2)-2y...

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  16. Find the value of x Equation is x+1=1

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  17. The four lines drawing from the vertices of any tetrahedron to the cen...

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  18. The shorteast distance from (1, 1, 1) to the line of intersection of t...

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  19. The shortest distance between the two lines L1:x=k1, y=k2 and L2: x=k3...

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  20. A=[{:(l(1),m(1),n(1)),(l(2),m(2),n(2)),(l(3),m(3),n(3)):}] and B=[{:(p...

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