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Equation of the plane through three poin...

Equation of the plane through three points A, B and C with position vectors `-6i+3j+2k, 3i-2j+4k and 5i+7j+3k` is equal to

A

`rcdot(i-j-7k)+23=0`

B

`rcdot(i+j+7k)=23`

C

`rcdot(i+j-7k)+23=0`

D

`rcdot(i-j-7k)=23`

Text Solution

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The correct Answer is:
(a)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
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  4. OABC is a tetrahedron. The position vectors of A, B and C are i, i+j a...

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

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  6. A(xy),A(yz),A(zx) be the area of projections of an area on the xy,yz a...

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

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

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  9. Find the angle between the lines whose direction cosine are given by...

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

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  11. Differentiate x^5 with respect to x.

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

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  13. A plane makes intercepts OA, OB and OC whose measurements are b and c ...

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  14. The radius of the circle in which the sphere x^(2)=y^(2)+z^(2)+2z-2y-4...

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  15. Let veca=hati+hatj and vecb=2hati-hatk. Then the point of intersection...

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  16. The coordinates of the point P on the line vec r=( hat i+ hat j+ ha...

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

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

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

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

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