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The angle between the planes vecr. (2 h...

The angle between the planes ` vecr. (2 hati - 3 hatj + hatk) =1 and vecr. (hati - hatj) =4` is

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`x=cos^(-1)(5/2√7)`
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The angle between the planes vecr.(2hati-hatj+hatk)=6 and vecr.(hati+hatj+2hatk)=5 is

Find the angle between the planes vecr.(hati+hatj-2hatk)=3 and vecr.(2hati-2hatj+hatk)=2 2

Find the angle between the folowing planes :- (i) vecr.(2hati-3hatj+4hatk) = 5 and vecr.(-hati+hatj) = 1 (ii) vecr.(2hati+3hatj-6hatk) = 1 and vecr.(hati-2hatj+2hatk) + 3 = 0 (iii) x+y-2z=3 and 2x-2y+z+1 = 0

The angle between the line vecr = ( 5 hati - hatj - 4 hatk ) + lamda ( 2 hati - hatj + hatk) and the plane vec r.( 3 hati - 4 hatj - hatk) + 5=0 is

Find the equation of the plane through the line of intersection of the planes vecr.(2hati-3hatj+4hatk)=1 and vecr.(hati-hatj)+4=0 and perpendicular to the plane vecr.(2hati-hatj+hatk)+8=0 .

Prove that the equaton of a plane through point (2,-4,5) and the line o lintersection of the planes vecr.(2hati+3hatj-4hatk) = 1 and vecr.(3hati+hatj-2hatk) = 2 is vecr.(2hati+8hatj+7hatk) = 7 .

Find the distance between the parallel planes: vecr.(2hati-hatj+3hatk)=4 and vecr.(6hati-3hatj+9hatk)+13=0

The vector parallel to the line of intersection of the planes vecr.(3hati-hatj+hatk) = 1 and vecr.(hati+4hatj-2hatk)=2 is :

The distance between the planes given by vecr.(hati+2hatj-2hatk)+5=0 and vecr.(hati+2hatj-2hatk)-8=0 is

Find the equation of a plane passing through the intersection of the planes vecr . (hati+3hatj-hatk) = 5 and vecr.(2hati-hatj+hatk) = 3 and passes through the point (2,1,-2) .

VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE ADVANCED (ARCHIVE)
  1. The angle between the planes vecr. (2 hati - 3 hatj + hatk) =1 and ve...

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  2. Let P be the image of the point (3, 1, 7) with respect to the plane x...

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  3. The equation of the plane passing through the point (1,1,1) and perpen...

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  4. A line with positive direction cosines passes through the point P(2, -...

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

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  6. A plane which is perpendicular to two planes 2x-2y+z=0 and x-y+2z = 4 ...

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  7. about to only mathematics

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  8. If the straight lines (x-1)/(2)=(y+1)/(k)=(z)/(2) and (z+1)/(5)=(y+1)/...

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  9. The equation of the plane containing the line 2x-5y""+""z""=""3;""x...

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  10. The disatance of the point (1, 0, 2) from the point of intersection of...

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  11. Perpendicular are drawn from points on the line (x+2)/(2)=(y+1)/(-1)=...

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  12. The equation of a plane passing through the line of intersection of th...

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  13. about to only mathematics

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  14. If the distance of the point P(1,-2,1) from the plane x+2y-2z=alpha,...

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  15. Equation of the plane containing the straight line (x)/(2)= (y)/(3)= (...

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  16. Consider three planes P(1):x-y+z=1, P(2):x+y-z=-1 and P(3):x-3y+3z=2...

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  17. Consider the planes 3x-6y-2z=15 and 2x+y-2z=5. Statement 1:The parame...

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  18. From a point P(lambda, lambda, lambda), perpendicular PQ and PR are dr...

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  19. Two lines L(1) : x=5, (y)/(3-alpha)=(z)/(-2) and L(2) : x=alpha, (y)/(...

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  20. A line l passing through the origin is perpendicular to the lines l(...

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  21. In R(3) , consider the planes P(1):y=0and P(2) : x+z=1. Let P(3) ...

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