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Let a,b,c be three vectors such that a ...

Let a,b,c be three vectors such that `a ne 0` and `a xx b = 2a xx c,|a| = |c| = 1, |b| = 4 and |b xx c| = sqrt(15)`. If `b - 2 c = lambda a,` then `lambda` is equal ot

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Let vec a,vec b,vec c be three vectors such that vec a!=0, and vec a xxvec b=2vec a xxvec c,|vec a|=|vec c|=1,|vec b|=4|vec a xxvec c|=sqrt(15) If vec b-2vec c=lambdavec a, then lambda equal to

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If vec a,vec b,vec c are vectors such that [vec a,vec b,vec c]=4 then [a xx b,b xx c,c xx a]=

MCGROW HILL PUBLICATION-VECTOR ALGEBRA-SOLVED EXAMPLES (Numerical Answer Type Questions)
  1. Suppose a and b are two unit vectors and theta is acute angle between ...

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  2. The vector a, b and c are such tha |a|=|b| = 1 and |c|= 2 (ii) a ...

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  3. Let a=2i-3j+4k, b=i+2j-2k " and "c=3i-j+k. Let V be, the volume (in cu...

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  4. If A(3i-2j-k), B(2i+3j-4k), C(-i+j+2k)" and "D(4i+5j+lambdak) are copl...

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  5. Suppose a+x^(2)b+y^(2)c=0" and "a times b+c times a=16(b times c), the...

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  6. Let veca,vecb and vecc be three vectors having magnitudes 1, 1 and 2 r...

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  7. Suppose ABC is a right angled triangle with angleC=pi//2. If abs(AB)=5...

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  8. Let a=5i+4j-k, b=-4i+j+5k, c=i+3j-k. Let alpha be a vector perpendicul...

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  9. If the volume of parallelopiped whose coterminous edges are a=i+j+2k, ...

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  10. Suppose P=(x+1)i+xj+xk, Q=x""i+(x+1)j+xk, k=x""i+xj+(x+1)k are coplana...

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  11. Let abs(a)=sqrt(3), abs(b)=5, b*c=10, angle between b and c is equal t...

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  12. Let a,b,c be three vectors such that a ne 0 and a xx b = 2a xx c,|a|...

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  13. Let a=i-2j+3k. If b is a vector such that a*b=abs(b)^(2)" and "abs(a-b...

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  14. Suppose the diagonals of a parallelogram are represented by vectors i+...

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  15. Let a be vector, such that abs(a)=5. Then abs(a*i)^(2)+abs(a*j)^(2)+ab...

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  16. If vecr=l(vecb xx vecc)+m(vecc xx veca)+n(veca xx vec b) and [veca, v...

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  17. Suppose a=5i-3j+2k, b=-i+2j+3k, c=7i-18j+21k," then "[a-b" "b-c" "c-a]...

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  18. If a=2i-3j+5k, b=3i-4j+5k" and "c=5i-3j-2k then volume of the parallel...

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  19. Suppose a, b, c are three unit vectors such that " "abs(a-b)^(2)...

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  20. If 4x+3y+12z=26, x, y, z, in R, then minimum possible value of x^(2)+y...

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