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Find the angle between the planes whose ...

Find the angle between the planes whose vector equations are
`barr *(2hati + 2hatj - 3hatk) = 5 and barr *(hati -2hatj+hatk) =7`.

A

`"cos"^(-1)((11)/(sqrt(238)))`

B

`"cos"^(-1)((13)/(sqrt(238)))`

C

`"cos"^(-1)((15)/(sqrt(238)))`

D

`"cos"^(-1)((9)/(sqrt(238)))`

Text Solution

Verified by Experts

The correct Answer is:
A
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NIKITA PUBLICATION-PLANE-MULTIOLE CHOICE QUESTIONS
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  2. The angle between the line of intersection of planes barr.(hati+3hatj-...

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  3. Find the angle between the planes whose vector equations are barr ...

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  4. The angle between planes barr.(2hati+hatj-hatk)=3andbarr.(hati+2hatj+h...

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  5. If the angle between the planes r.(mhati-hatj+2hatk)+3=0 and r*(2hati-...

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  6. The acute angle between the two planes x + y + 2z = 3 and 3x - 2y ...

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  7. The angle between planes 3x-6y+2z=8and2x+2y-2z=10 is

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  8. The angle between planes 3x-6y+2z=8and 2x+2y-2z=10 is

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  9. If the planes ax+by+cz+d=0anda(1)x+b(1)y+c(1)z+d(1)=0 be mutually perp...

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  10. The value of k for which the planes 3x-6y-2z=7 and 2x+y-kz=5 areperpen...

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  11. If the planes 3x-2y+2z+17=0 and 4x+3y-kz=25 are mutually perpendicul...

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  12. The angle between the line barr=(hati+hatj-hatk)+lamda(hati-hatj+hatk)...

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  13. The angle between the line barr=(hati+2hatj-hatk)+lamda(hati-hatj+hatk...

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  14. Find the angle between the line barr = (hati + 2hatj + hatk) + lambda(...

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  15. Find the angle between line (x+1)/3=(y-1)/2=(z-2)/4 and the plane 2x+y...

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  16. Find the angle between the line (x-1)/(3)=(y+1)/(2)=(z+2)/(4) and the ...

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  17. The acute angle between the line (x+1)/(2) = (y)/(3)= (z-3)/(6) and th...

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

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  19. If the angle theta between Z-axis and the plane 3x-4y+5z+7=0 " is co...

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  20. If the angle between the line x=(y-1)/(2)=(z-3)(lambda) and the plane ...

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