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Write the vector equation of the plane p...

Write the vector equation of the plane passing through the point `(a, b,c)` and parallel to the plane `vecr. (hati + hatj + hatk) = 2.`

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Verified by Experts

The equation of plane is:
`(vec r-vec a)cdot vecn=0`
`vec rcdot(hati+hatj+hatk)=(acdothati+bcdothatj+c cdothatk)(hati+hatj+hatk)`
`vec rcdot(hati+hatj+hatk)=a+b+c`
So, the final answer is `vec rcdot(hati+hatj+hatk)=a+b+c.`
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  9. Find the vector equation of the following plane in scalar product form...

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  14. The distance between the point (3,4, 5) and the point where the line (...

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  16. If plane passes through the point (1, 1,1) and is perpendicular to the...

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  17. The equation of the plane parallel to the lines x-1=2y-5=2z and 3x = 4...

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  18. The distance of the point (-1, -5, -10) from the point of intersection...

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