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The line joining the points 6veca-4vecb+...

The line joining the points `6veca-4vecb+4vecc, -4vecc` and the line joining the points `-veca-2vecb-3vecc, veca+2vecb-5vecc`intersect at

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Prove that the three points veca-2vecb+3vecc, vec(2a)+3vecb-4vecc and -7vecb+10vecc are collinear

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If veca, vecb, vecc are any three non coplanar vectors, then (veca+vecb+vecc).(vecb+vecc)xx(vecc+veca)

If veca, vecb and vecc are three non-zero, non-coplanar vectors,then find the linear relation between the following four vectors : veca-2vecb+3vecc, 2veca-3vecb+4vecc, 3veca-4vecb+ 5vecc, 7veca-11vecb+15vecc .

Let veca,vecb,vecc be three linearly independent vectors, then ([veca+2vecb-vecc 2veca+vecb+vecc4veca-vecb+5vecc])/([vecavecbvecc])

If veca, vecb, vecc are non-null non coplanar vectors, then [(veca-2vecb+vecc, vecb-2vecc+veca, vecc-2veca+vecb)]=

Prove th the following sets of three points are collinear: -2veca+3vecb+5vecc, veca+2vecb+3vecc, 6veca-vecc

If veca, vecb and vecc are non-coplanar vectors, prove that the four points 2veca+3vecb-vecc, veca-2vecb+3vecc, 3veca+4vecb-2vecc and veca-6vecb+ 6 vecc are coplanar.

If veca,vecb and vecc are coplaner, then what is (2vecaxx3vecb).4vecc+(5vecbxx3vecc).6veca equal to?

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NIKITA PUBLICATION-LINE-MULTIPLE CHOICE QUESTIONS
  1. If l(1), m(1), n(1), l(2), m(2), n(2) and l(3), m(3), n(3) are directi...

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  2. The line joining the points 6veca-4vecb+4vecc, -4vecc and the line joi...

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  3. The line joining the points 6veca-4vecb+4vecc, -4vecc and the line joi...

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  4. Let veca=-hati-hatk,vecb =-hati + hatj and vecc = i + 2hatj + 3hatk be...

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  5. Find the shortest distance between the lines vecr = hati+ hatj+hatk+...

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  6. Show that the lines ( x+1)/(-10) = ( y + 3)/(-1) = ( z - 4) / (1) "an...

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  7. The point of intersection of the lines (x-5)/3=(y-7)/(-1)=(z+2)/1a ...

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  8. If the lines (x-4)/15 = (y-17)/9 = (z-11)/8 and (x-15)/4 = (y-9)/17 = ...

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  9. If the lines (x-1)/2=(y+1)/3=(z-1)/4a n d(x-3)/1=(y-k)/2=z/1 intersect...

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

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  11. Find the vector equation of a line parallel to the vector 2hati-hatj+2...

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  12. Find the coordinates of the points on the line (x +1)/(2) = (y - 2)/(3...

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  13. Find the two points on the line ( x - 2 ) / ( 1 ) = ( y + 3)...

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  14. If AB=21, B-=(-2,1,-8) and the direction cosines of AB are 6/7, 2/7, 3...

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  15. A line passes through two points A(2,-3,-1) and B(8,-1,2). The coordin...

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  16. If the lines x=a(1)y + b(1), z=c(1)y +d(1) and x=a(2)y +b(2), z=c(2)y ...

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  17. If the lines (1 -x )/(3) = ( 7y - 14)/(2 lamda) = (z - 3)/(2) "and" (7...

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  18. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/(-2)a n d(x-1)/(3k)=(y-5)/1=(...

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  19. If the lines x-2 = ay-3 =(2-z)/3 and bx +1 = y+4=z are perpendicular t...

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  20. The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)...

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