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The equation of the plane containing the...

The equation of the plane containing the lines `vec r = vec (a_1) + lambda vec b and vec r = vec (a_2) + mu vec b ` is.............

A

`vec r . (veca_1 - vec a_1) xx vec b = [vec a_1 veca_2veca_3]`

B

`vec r . (vec a_2-veca_1) xx vec b = [vec(a_1) vec a_2vec b]`

C

`vec r .(vec (a_1)-vec(a_2)) xx vec b =[veca_2 vec a_1 vec b]`

D

None of these

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The correct Answer is:
B
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. A plane is passing through (1,0,0) and (0,1,0) and it makes and angle ...

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  2. The equation of the plane passing through origin and the line of inter...

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  3. The equation of the plane containing the lines vec r = vec (a1) + lamb...

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  4. If the lines vec r = vec a + lambda (vec b xx vec c) and vec r = vec b...

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  5. The distance between the planes 2x + 2y-z + 2 = 0 and 4x + 4y -2x +...

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  6. The plane 2x - (1- lambda) y+ 3 lambda z= 0 is passing through the lin...

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  7. A plane passes through (1,1,1). It is perpendicular to the line (x-1)/...

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  8. The equation of the plane passing through the line of intersection of ...

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  9. The vector equation of the plane containing the line vec r (-2 hat i -...

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  10. The plane passing through the intersection of the planes x+y +z =1 and...

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  11. The equation of line passing through the point (-4,3,1) parallel to th...

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  12. The equation of plane containing the line x/2 = y/3 = z/4 and perpendi...

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  13. If the lines x = ay + b ,z = cy + d and x= a'z + b',y = c'z + d'' are ...

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  14. The plane parallel to the lines (x+2)/(3) = (y-2)/(-1) = (z+1)/(2) an...

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  15. A point A is on the line vec r = (1- 3mu ) hat i + (mu - 1) hat j + ...

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  16. The distance of the point (2,-1,-2) from the line (x-1)/(2) = (y+3)/(2...

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  17. Three planes 4y+6z = 5, 2x + 3y + 5z = 5 and 6x + 5y + 9z = 10 ..........

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  18. A variable plane makes with the co-ordinates plane, tetrahedron of con...

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

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  20. If the plane 2x + 3y + 4z = 1 intersects X-axis, Y-axis and Z-axis at...

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