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The angle between the line vecr = ( 5 ha...

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

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The line vecr = 2hati - 3 hatj - hatk + lamda ( hati - hatj + 2 hatk ) lies in the plane vecr. (3 hati + hatj - hatk) + 2=0 or not

If the point of intersection of the line vecr = (hati + 2 hatj + 3 hatk ) + lambda( 2 hati + hatj+ 2hatk ) and the plane vecr (2 hati - 6 hatj + 3 hatk) + 5=0 lies on the plane vec r ( hati + 75 hatj + 60 hatk) -alpha =0, then 19 alpha + 17 is equal to :

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

Find the angle between the line vecr = (2hati+hatj-hatk)+lambda(2hati+2hatj+hatk) and the plane vecr.(6hati-3hatj+2hatk)+1=0 .

Find the points of intersection of the line vecr = (2hati - hatj + 2hatk) + lambda(3hati + 4hatj + 2hatk) and the plane vecr.(hati - hatj + hatk) = 5

Find the angle between the line vecr=(hati+2hatj-hatk)+lamda(hati-hatj+hatk) and the plane ver.(2hati-hatj+hatk)=4

The perpendicular distance between the line vecr = 2hati-2hatj+3hatk+lambda(hati-hatj+4hatk) and the plane vecr.(hati + 5hatj + hatk) = 5 is :

Angle between the line vecr=(2hati-hatj+hatk)+lamda(-hati+hatj+hatk) and the plane vecr.(3hati+2hatj-hatk)=4 is

Find the distance of the point (3,8,2) from the line vecr=hati + 3 hatj + 2hatk + lamda ( 2 hati + 4 hatj + 3hatk) measured parallel to the plane vec r . (3 hati + 2 hatj - 2hatk) + 15=0.

The angle between the line vecr=(hati+2hatj+3hatk)+lamda(2hati+3hatj+4hatk) and the plane vecr.(hati+2hatj-2hatk)=3 is (A) 0^0 (B) 60^0 (C) 30^0 (D) 90^0

VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE ADVANCED (ARCHIVE)
  1. The angle between the line vecr = ( 5 hati - hatj - 4 hatk ) + lamda (...

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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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