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The lines bar r = (-1,2,5) + k (-1,2,5),...

The lines `bar r = (-1,2,5) + k (-1,2,5), k in R` and `bar r = (-3,1,5) + k (-3,1,5), k in R` ...........

A

Perpendicular

B

skew

C

coplannar

D

Parallel

Text Solution

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The correct Answer is:
C
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The equation of the line passing through hat i + 3 hat j + 2 hat k and prependiccular to the lines bar (r) = (1,2,-1) +lambda (2,1,1) and bar r = (2,6,1) + mu (1,2,3) is .........

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The equation of the plane passing through the point hat i + 2 hat j + - hat k and perpendicular to the intersection line of the planes bar r . ( 3 hat i - hat j + hat k) = 1 and bar (hat i + 4 hat j - 2 hat ) = 2 is.............

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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The angle between the lines whose direction cosines are l, m, n and m-...

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  2. The vector equation of the line (3-x)/(3) = (2y - 3)/(5) = z/2 is .......

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  3. The lines bar r = (-1,2,5) + k (-1,2,5), k in R and bar r = (-3,1,5) ...

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  4. The vector equation of the line joining the pionts hat(i) - 2hat (j)+ ...

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  5. If bar = hat i + hat j and bar b = 2 hat i - hat k then the intersect...

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  6. The co-ordinats of a point on the line passing through the pionts (1,-...

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  7. The equation of the line passing through hat i + 3 hat j + 2 hat k a...

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  8. The shortest distance of the lines bar r1 = 4 hat i -3 hat j - hat k +...

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  9. The direction cosines of the line drawn from P(-5,3,1) and Q(1,5,-2) i...

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  10. The angle between the two diagonals of a cube is .....

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  11. The angle between the two diagonals of a cube is .....

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  12. A line makes the angle alpha, beta , gamma and delta with the diagonal...

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  13. The edge of a cube is of length of a. The shortest distance between th...

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  14. The projection of a line on the axes are 9,12, and 8. The length of th...

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  15. The straight lines whose direciton cosines are given by al + bm + cn =...

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  16. The foot of perpendicular drawn from the point P(1,0,2) on the line (x...

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  17. The foot of perpendicular drawn from the point P(1,0,2) on the line (x...

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  18. Prove that if the lines x = ay + b, z = cy + d and x = a'y + b', z = c...

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  19. The lines (x-1)/(3) = (y-1)/(-1) = (z+1)/0 and (x-4)/(2) = (y+0)/(0) =...

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  20. The equation of motion of a point in space is x = 2t, y = -4 t, z=4t ...

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