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Find the angle between the line barr = (...

Find the angle between the line `barr = (hati + 2hatj + hatk) + lambda(hati +hatj + hatk)` and the plane `barr*(2hati - hatj + hatk) = 5`.

A

`"cos"^(-1)((sqrt(2))/(3))`

B

`"sin"^(-1)((sqrt(2))/(3))`

C

`"tan"^(-1)((sqrt(2))/(3))`

D

`"sin"^(-1)((sqrt(2))/(sqrt(3)))`

Text Solution

Verified by Experts

The correct Answer is:
B
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NIKITA PUBLICATION-PLANE-MULTIOLE CHOICE QUESTIONS
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  2. The angle between the line barr=(hati+2hatj-hatk)+lamda(hati-hatj+hatk...

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

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

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

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  10. The angle between the line (x)/(3)=(y)/(4)=(z)/(5) "and the plane " 2x...

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  11. If the line (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies exactly on the plane 2x...

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  12. The value of k such that (x-4)/1=(y-2)/1=(z-k)/2 lies in the plane 2x-...

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  13. The equation of plane passing through the point (1 ,2 ,3) and paralle...

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  14. The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and ...

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  15. Perpendicular are drawn from points on the line (x+2)/(2)=(y+1)/(-1)=...

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  16. If the plane passing through the origin and parallel to the line (x-1)...

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  17. If lamdax+4y+5z=7,4x+4lamday+10z-14=0 represent the same plane , then ...

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  18. If the line vecr=(hati-2hatj+3hatk)+lambda(2hati+hatj+2hatk) is parall...

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  19. If the line barr=(hati-hatj+3hatk)+lamda(hati-hatj+mhatk) is parallel...

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  20. The plane 2x+3y+kz-7=0 is parallel to the line whose direction ratios...

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