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Vertices of a parallelogram taken in ord...

Vertices of a parallelogram taken in order are A, ( 2,-1,4) , B (1,0,-1) , C ( 1,2,3) and D.
Distance of the point P ( 8, 2,-12) from the plane of the parallelogram is

A

14, 4,2

B

2,4,14

C

4,2,14

D

2,14,4

Text Solution

Verified by Experts

The correct Answer is:
d
vector normal to the plane
`vec(AD)xxvec(AB)+(7hati+2hatj-hatk)`
Projection on xy=2
Projection on yx= 14
projection on zx = 4
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CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
  1. Vertices of a parallelogram taken in order are A, ( 2,-1,4) , B (1,0,-...

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  2. Vertices of a parallelogram taken in order are A, ( 2,-1,4) , B (1,0,-...

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  3. Vertices of a parallelogram taken in order are A, ( 2,-1,4) , B (1,0,-...

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  4. Let vec(r) is a positive vector of a variable pont in cartesian OXY pl...

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  5. Let vec(r) is a positive vector of a variable pont in cartesian OXY pl...

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  6. Let vec(r) is a positive vector of a variable pont in cartesian OXY pl...

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  7. Ab, AC and AD are three adjacent edges of a parallelpiped. The diagona...

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  8. Ab, AC and AD are three adjacent edges of a parallelpiped. The diagona...

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  9. Ab, AC and AD are three adjacent edges of a parallelpiped. The diagona...

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  13. Given two vectors veca= -hati +hatj + 2hatk and vecb =- hati - 2 hatj ...

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  14. Given two vectors veca=-hati + 2hatj + 2hatk and vecb =- 2hati + hatj ...

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  16. Valume of parallelpiped formed by vectors veca xx vecb, vecb xx vecc a...

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  17. If veca and vecb are any two unit vectors, then find the greatest post...

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  18. Let vecu be a vector on rectangular coodinate system with sloping angl...

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  19. Find the absolute value of parameter t for which the area of the t...

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  20. If veca=a(1)hati+a(2)hatj+a(3)hatk, vecb= b(1)hati+b(2)hatj + b(3)hatk...

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