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Find the cartesian form of the equation ...

Find the cartesian form of the equation of the plane.
`vecr=(lambda-mu)hati+(1-mu)hatj+(2lambda+3mu)hatk`

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To find the Cartesian form of the equation of the plane given in vector form as: \[ \vec{r} = (\lambda - \mu) \hat{i} + (1 - \mu) \hat{j} + (2\lambda + 3\mu) \hat{k} \] we will follow these steps: ...
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The Cartesian equation of the plane vec r=(1+lambda-mu) hat i+(2-lambda) hat j+(3-2lambda+2mu) hat k is a. 2x+y=5 b. 2x-y=5 c. 2x+z=5 d. 2x-z=5

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Find the Cartesian equation of the plane vecr.(2hati-3hatj+5hatk)=1 .

Find the vector equation of the following plane in non-parametric form: vec r=(lambda-2mu) hat i+(3-mu) hat j+(2lambda+mu) hat k .

Find the Cartesian equation of the plane whose vector equation is vecr.(3hati+4hatj-2hatk)=5 .

Statement 1: Lthe cartesian equation of the plane vecr=(hati-hatj)+lamda(hati+hatj+hatk)+mu(hati-2hatj+3hatk) is 5x-2y-3z=7 Statement 2: The non parametric form of the plane vecr=veca+lamdavecb+muvecc is [(vecr,vecb,vecc)]=[(veca,vecb,vecc)]

Find the shortest distance between the two lines whose vector equations are given by: vecr=(1-lamda)hati+(-2lamda -2)hatj+(3-2lamda)hatk and vecr=(1+mu)hati+(2mu-1)hatj-(1+2mu)hatk

Find the vector equation of the following planes in non parametric form: -> r=(lambda-2mu) hat i+(3-mu) hat j+(2lambda+mu) hat k

NAGEEN PRAKASHAN ENGLISH-THREE-DIMENSIONAL GEOMETRY -Miscellaneous Exercise
  1. Find the cartesian form of the equation of the plane. vecr=(lambda-m...

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  2. Show that the line joining the origin to the point (2,1,1) is perpe...

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  3. If l(1), m(1), n(1) and l(2),m(2),n(2) are the direction cosines of tw...

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  4. Find the angle between the lines whose direction ratios are a, b, c a...

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  5. Find the equation of a line parallel to x-axis and passing through ...

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  6. If the coordinates of the points A ,B ,C ,D are (1,2,3),(4,5,7),(-4,3,...

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  7. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/2and (x-1)/(3k)=(y-1)/1=(z-6...

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  8. Find the vector equation of the line passing through (1, 2, 3) and ...

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  9. Write the vector equation of the plane, passing through the point (a ,...

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  10. Find the shortest distance between lines vecr = 6hati+2hatj+2hatk+lam...

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  11. Find the coordinate of the point where the line through (5, 1, 6) and ...

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  12. Find the coordinates of the point where the line through (5, 1, 6) ...

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  13. Find the coordinates of the point where the line through (3, -4, -5...

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  14. Find the equation of the plane passing through the point (-1, 3, 2)...

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  15. If the points (1," "1," "p)" "a n d" "(" "3," "0," "1) be equidistant ...

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  16. Find the equation of the plane passing through the line of intersectio...

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  17. If O be the origin and the coordinates of P be(1," "2," "" "3) , th...

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  18. Find the equation of the plane which contains the line of intersection...

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  19. Find the distance of the point (-1,-5,-10) from the point of the inter...

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  20. Find the vector equation o the line passing through (1,2,3) and parall...

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  21. Find the vector equation of line passing through the point (1, 2, -4) ...

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