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 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) ` .

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FULL MARKS-APPLICATIONS OF VECTOR ALGEBRA-Additional Questions Solved
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  8. Derive the equation of the plane in the intercept form.

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

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

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

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

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

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

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

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

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

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

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

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  20. Find the angle between the line (x-2)/(3)=(y-1)/(-1)=(z-3)/(2)" and th...

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