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Find the equation of the plane containin...

Find the equation of the plane containing the line `frac[x+3][3]=frac[y-1][4]=frac[z-2][-2]` and the point (0,2,4).

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USHA PUBLICATION-VECTORS THREE DIMENSIONAL GEOMETRY -EXERCISE
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  8. Express 2hati-hatj+3hatk as the sum of a vector parallel, and a vector...

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  9. Resolve the vector vec(b) = hat(i) + hat(j) + hat(k) into vectors para...

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  10. Find the angle between the following pair of the planes.2x+y+2z-4=0and...

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  11. Show that the join of the points (6,-4,4) and (0,0,-4) intersects the ...

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  12. Show that the points (2,3,-5) and (3,4,7) lie on the opposite side of ...

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  13. Find dy/dx if y=log(sec x+tan x).

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  15. Find the shortest distance between the lines frac[x][2]=frac[y][-3]=fr...

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  16. Find the equation of the plane passing through the line frac[x+1][-3]=...

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  17. Find the equation of the plane containing the line frac[x+3][3]=frac[y...

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  18. Show that lines vecr = (hat(i) + hat(j) - hat(k)) + lambda(3hat(i) - h...

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  19. If P is the point (2,1,6), then find the point Q such that PQ is perpe...

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  20. The plane lx+my=0 is rotated about its line of intersection with the p...

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