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Find the Vector and Cartesian equation of the plane containing the line `(x-2)/2=(y-2)/3=(z-1)/3` and parallel to the line `(x+1)/3=(y-1)/2=(z+1)/1`

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Find the vector and cartesian equations of the plane containing the line (x-2)/(2)=(y-2)/(3)=(z-1)/(-2) and passing through the point (-1, 1,-1).

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Find the vector and cartesian equation of the plane passing through (2, -1, -3) and parallel to the line (x-5)/(3)=(y+1)/(2)=(z-3)/(-4) and (x+10)/(2)=(y-10)/(3)=(z-2)/(2)

Find the vector and cartesian equations of the plane passing through the points A(1, -2, 3) and B(-1,2,-1) and is parallel to the line (x-2)/(2)=(y+1)/(3)=(z-1)/(4) .

Find the vector and cartesian equation of the plane passing through the point (1, 3, 2) and parallel to the lines * (x+1)/(2)=(y+2)/(-1)=(z+3)/(3) and (x-2)/(1)=(y+1)/(2)=(z+2)/(2) .

Find the equation of the plane through the points (1,0,-1),(3,2,2) and parallel to the line (x-1)/1=(y-1)/(-2)=(z-2)/3 .

Find the vector parametric , non parametric and Cartesian equation of the plane passing through the points (2, 1, -1) and (1, -1, 2) and parallel to the line (x-10)/(2)=(y+7)/(3)=(z-3)/(4) .

Find the non-parametric form of vector equation, and Cartesian eqution of the plane passing through the point (2,3,6) and parallel to the straight lines (x-1)/(2)=(y+1)/(3)=(z-3)/(1)and(x+3)/(2)=(y-3)/(-5)=(z+1)/(-3).

Find the equation of the plane passing through the points (1,0,-1)a n d(3,2,2) and parallel to the line x-1=(1-y)/2=(z-2)/3dot

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  9. Derive the equation of the plane in the intercept form.

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  10. Find the Cartesian form of the equation of the plane vec(r)=(s-2t)hat(...

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  11. Show that the straigh lines vecr=(veci+vecj-veck)+lambda(3veci-vecj)...

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  12. If the straight lines (x-1)/(2)=(y+1)/(lamda)=(z)/(2)and(x+1)/(5)=(y+1...

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  13. If the lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/...

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  14. Show that the lines (x+3)/(-3)=(y-1)/(1)=(z-5)/(5) and (x+1)/(-1)...

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  15. Find the point of intersection of the line passing through the two poi...

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  16. Find the coordinates of the point where the line vecr=(hati+2hatj-5ha...

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  17. Find the point of intersection of the line vecr=(vecj-veck)+s(2veci-...

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  18. Find the meeting point of the line vecr=(2veci+vecj-3veck)+t(2veci-v...

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  19. Show that the following planes are at right angles: vecr.(2veci+vec...

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  20. The planes vecr.(2vec+lambdavecj-3veck)=10 and vecr.(lambdavec+3ve...

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