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Find the angle between the planes 2x - 3...

Find the angle between the planes `2x - 3y - 6z =5` and `6x+2y-9z = 4`

A

`cos^(-1)(30/77)`

B

`cos^(-1)(40/77)`

C

`cos^(-1)(50/77)`

D

`cos^(-1)(60/77)`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-EXERCISE - I
  1. If bara,barb,barc are three vectors such that absbara =1, absbarb = ...

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  2. If bara = 3bari - 4barj +5bark, barb = 2bari+3barj-bark ," then the an...

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  3. If bara =-bari+barj+2bark, barb =2bari +barj-bark, barc =-2bari+barj+3...

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  4. The acute angle made by the line joining the points (1, -3 ,2) and (3,...

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  5. If bara = bari+2barj+3bark, barb = -bari+2barj+bark, barc =3bari +barj...

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  6. If the vectors bari -2xbarj-3ybark and bari +3xbarj+2ybark are orthogo...

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  7. If bara=bari+barj+tbark, barb=bari+2barj+3bark, then the value of 't' ...

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  8. If the vectors bara =bari - barj + 2bark, barb =2bari+4barj+bark and b...

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  9. If bara,barb, bara+barb " are unit vectors, then " (bara,barb)=

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  10. If three unit vectors bara,barb,barc " satisfy " bara+barb+barc =bar0 ...

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  11. The orthogonal projection vector of bara = 2bari + 3barj+3bark " on "...

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  12. The length of projection of bari -2barj+2bark on X-axis is

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  13. If bara = bari -barj-bark, barb = lambdabari-3barj+bark " and the or-t...

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  14. The component vector of 4bari-4barj-7bark " perpendicular to " bari-2b...

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  15. The vectors equation of the plane which is per-pendicular to 2bari -3b...

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  16. Equation of a plane passing through the point A (3,-2,1) and perpendic...

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  17. Perpendicular distance from origin to the plane barr.barm = bara.barm ...

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  18. Find the angle between the planes 2x - 3y - 6z =5 and 6x+2y-9z = 4

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  19. The two planes 2x+6y +10z-14=0,x+3y+5z+8=0 are

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  20. If theta is the angle between a line barr = bara+tbarb " and a plane "...

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