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The lines barr=(2hati+hatj-3hatk)+((t)...

The lines
`barr=(2hati+hatj-3hatk)+((t)/(sqrt(6)))(2hati-hatj+hatk)andbarr=(hati+hatk)+t(4hati-hatj+lambdahatk)` are perpendicular to each other, then value of `lambda` is

A

9

B

-9

C

7

D

`-7`

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-LINE-Critical Thinking
  1. The line joining points (3,4,1) and (5,1,6) meets XY-plane at the poin...

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  2. D.c.s of a line segment AB are (-2)/(sqrt(17)),(3)/(sqrt(17)),(-2)/(sq...

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  3. The lines barr=(2hati+hatj-3hatk)+((t)/(sqrt(6)))(2hati-hatj+hatk)an...

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  4. The lines vecr=(2hati-3hatj+7hatk)+lamda(2hati+phatj+5hatk) and ve...

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  5. If the lines (x-1)/(2)=(y-1)/(lambda)=(z-3)/(0) and (x-2)/(1)=(y-3)/...

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  6. The lines and (x-1)/(3)=(y-2)/(4)=(z-3)/(5) (x-1)/(2)=(y-2)/(3)=(z-3)...

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  7. Let veca=hati+hatj and vecb=2hati-hatk. Then the point of intersection...

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  8. If the sum of the squares of the distances of a point from the three c...

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  9. The foot of perpendicular from the point (1,2,3) to the line (x)/(2)=(...

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  10. The co-ordinates of the foot of the perpendicular from the point (3,-1...

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  11. Find the foot of the perpendicular from the point (0,2,3) on the line ...

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  12. The length of perpendicular from the origin to the line vecr=(4hati=2h...

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  13. The length of the perpendicular drawn from the point (5,4,-1) on the l...

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  14. The length of perpendicular from (2, -1, 5) to the line (x-11)/(10)=(y...

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  15. The co-ordinates of a point on the line (x-1)/(2)=(y+1)/(-3)=z at a di...

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  16. A line passes through two points A(2,-3,-1) and B(8,-1,2). The coordin...

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  17. Find the equation of the perpendicular drawn from the point (2,4,-1) t...

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  18. Two lines (x)/(1)=(y)/(2)=(z)/(3)and(x+1)/(1)=(y+2)/(2)=(z+3)/(3) are

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  19. Find the shortest distance between the following pair of line: vecr=(1...

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  20. The shortest distance between lines barr=(lambda-1)hati+(lambda+1)hatj...

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