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Let L be the line of intersection of t...

Let L be the line of intersection of the planes `2x""+""3y""+""z""=""1` and `x""+""3y""+""2z""=""2` . If L makes an angles ` alpha ` with the positive x-axis, then cos` alpha ` equals

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CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. If the lines (x-1)/2=(y+1)/3=(z-1)/4 and (x-3)/1=(y-k)/2=z/1 intersec...

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  2. Consider a set of point R in which is at a distance of 2 units from t...

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  3. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

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  4. Statement 1: A plane passes through the point A(2,1,-3)dot If dista...

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  5. Consider the following linear equations: a x+b y+c z=0 b x+c y+a z=0 c...

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  6. If the distance between the plane Ax-2y+z=d. and the plane containing ...

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  7. Prove that the volume of tetrahedron bounded by the planes vec rdo...

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  8. If a variable plane forms a tetrahedron of constant volume 64k^3 with ...

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  9. O A ,O Ba n dO C ,w i t hO as the origin, are three mutually perpen...

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  10. Prove that for all values of lambda and mu , the planes (2x)/a+y/b+(...

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  11. If P is any point on the plane l x+m y+n z=pa n dQ is a point on the l...

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  12. find the equation of the plane with intercepts 2,3 and 4 on the x, y a...

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  13. A variable plane l x+m y+n z=p(w h e r el ,m ,n are direction cosines ...

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  14. P is a point and P Ma n dP N are the perpendicular form Ptoz-xa n dx-y...

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  15. Let a plane a x+b y+c z+1=0,w h e r ea ,b ,c are parameters, make an ...

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  16. Let x-ysin alpha-zsin beta=0,xsin alpha+zsin gamma-y=0 and xsin beta+y...

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  17. The position vectors of the four angular points of a tetrahedron OABC ...

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  18. Find the distance of the point (-2,3,-4) from the line ("x"+2)/3=(2"...

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  19. The plane 4x+7y+4z+81=0 is rotated through a right angle about its ...

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  20. If (a, b, c) is a point on the plane 3x + 2y + z = 7, then find the ...

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