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The plane vecr cdot vecn = q will cotain...

The plane `vecr cdot vecn = q` will cotain the line `vecr = veca + lambda vecb` if

A

`vecb.vecn""ne0,veca.vecn""neq`

B

`vecb.vecn=0,veca.vecn""neq`

C

`vecb.vecn=0,veca.vecn=q`

D

`vecb.vecn""ne0,veca.vecn=q`

Text Solution

Verified by Experts

The correct Answer is:
c

We must have `vecb.vecn=0andveca.vecn=q.`
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CENGAGE-THREE-DIMENSIONAL GEOMETRY -Exercise (Single)
  1. Distance of the point P(vecc) from the line vecr=veca+lamdavecb is

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  2. From the point P(a ,b ,c), let perpendicualars P La n dP M be drawn to...

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  3. The plane vecr cdot vecn = q will cotain the line vecr = veca + lambda...

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  4. The projection of point P(vecp) on the plane vecr.vecn=q is (vecs), th...

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  5. The angle between hati and line of the intersection of the plane vecr...

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  6. The line (x+6)/5=(y+10)/3=(z+14)/8 is the hypotenuse of an isosceles ...

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  7. The equation of the plane which passes through the line of intersect...

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  8. Consider triangle A O B in the x-y plane, where A-=(1,0,0),B-=(0,2,0)a...

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

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  10. The co-ordinates of the point P on the line vecr =(hati +hatj + hatk...

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  11. The ratio in which the line segment joining the points whose positi...

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  12. Which of the following are equation for the plane passing through the ...

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  13. Given vecalpha=3 hat i+ hat j+2 hat ka n d vecbeta= hat i-2 hat j-4 h...

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  14. L1a n dL2 and two lines whose vector equations are L1: vec r=lambda((c...

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  15. The shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/1a ...

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  16. The line through hati+3hatj+2hatk and perpendicular to the lines vecr=...

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  17. The line through of the plane passing through the lines (x-4)/(1)=(y-3...

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  18. The three planes 4y+6z=5,2x+3y+5z=5a n d6x+5y+9z=10 a. meet in a poi...

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  19. The equation of the plane through the line of intersection of the plan...

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  20. Equation of the pane passing through the points (2,2,1)a n d(9,3,6),...

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