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Consider the lines L(1) = (x+1)/3 = (y+2...

Consider the lines `L_(1) = (x+1)/3 = (y+2)/1 = (z+1)/2, L_(2) = (x-2)/1 = (y+2)/2 = (z-3)/3` The unit vector perpendicular to `L_(1)` and `L_(2)` is

A

`1/sqrt99(-i+7j+7k)

B

`1/(5sqrt3)(-i-7j+5k)`

C

`1/(5sqrt3) (-i+7j+5k)`

D

`1/sqrt99(7i-7j-k)`

Text Solution

Verified by Experts

The correct Answer is:
B
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HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
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  2. Let vec A be a vector parallel to the line of intersection of planes P...

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  3. Consider the lines L(1) = (x+1)/3 = (y+2)/1 = (z+1)/2, L(2) = (x-2)/1 ...

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  4. The shortest distance between the lines L(1) : (x+1)/3 = (y+2)/1 =(z+1...

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  5. The equation of the line passing through the point (3,2) and perpendic...

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

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

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  8. Equation of the plane containing the straight line x/2=y/3=z/4 and per...

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  9. If the distance between the plane Ax+2y+z=d and the plane containing t...

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  10. A line from the origin meets the lines (x-2)/1 = (y-1)/(-2) = (z+1)/1 ...

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  11. The direction ratios of a normal to the plane thro' (1,0,0), (0, 1, 0)...

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  12. The plane, which passes through the point (3, 2, 0) and the line (x-3)...

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  13. The two lines x=ay+b, z=cy+d and x=a'y+b', z=c'y+d' are perpendicular ...

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  14. Two system of rectangular axes have the same origin. If a plane cuts t...

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  15. A line with direction cosines proportional to 2,1,2 meets each of the ...

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  16. If the straight line, x =1 + s, y = 3-lambdas, z = 1+ lambdas and x=t/...

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  17. The distance between the line vec r = 2i+2j+3k + lambda (i-j+4k) and t...

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  18. If the angle theta between the (x+1)/1=(y-1)/2=(z-2)/2 and the plane 2...

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  19. The image of the point (- 1, 3, 4) in the plane: x-2y=0 is:

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  20. Let L be the line of intersection of the planes: 2x + 3y +z = 1 and ...

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