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Statement 1: Vector vec c=-5 hat i+7 ha...

Statement 1: Vector ` vec c=-5 hat i+7 hat j+2 hat k` is along the bisector of angel between ` vec a= hat i+2 hat j+2 hat ka n d vec b=8 hat i+ hat j-4 hat kdot` Statement 2: ` vec c` is equally inclined to ` vec a a n d vec b dot`

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CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. If vec A, vec B and vec C are vectors such that |vec B|=|vec C|. Prove...

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  2. A parallelogram is constructed on 3 vec a+ vec ba n d vec a-4 vec b...

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  3. Statement 1: Vector vec c=-5 hat i+7 hat j+2 hat k is along the bisec...

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  4. Statement 1: A component of vector vec b=4 hat i+2 hat j+3 hat k in...

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  5. Statement 1 : Points A(1,0),B(2,3),C(5,3),a n dD(6,0) are concyclic. S...

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  6. Let vec r be a non-zero vector satisfying vec r dot vec a= vec rdo...

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  7. Let vec a=a1 hat i+a2 hat j+a3 hat k , vec b=b1 hat i+b2 hat j+b3 hat...

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  8. Statement-I A=2hat(i)+3hat(j)+6hat(k), B=hat(i)+hat(j)-2hat(k) and C=h...

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  9. If vec a , vec b ,a n d vec c are mutually perpendicular vectors a...

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  10. Let vectors vec a , vec b , vec c ,a n d vec d be such that ( vec ax...

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  11. The number of vectors of unit length perpendicular to vectors vec ...

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  12. Prove that ( vec a.hat i)( vec axx hat i)+( vec a.j)( vec axx hat j)+(...

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  13. Let vecf(t)=[t] hat i+(t-[t]) hat j+[t+1] hat k , w h e r e[dot] deno...

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  14. If vec a is parallel to vec bxx vec c , then ( vec axx vec b).( vec ...

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  15. The three vectors hat i+hat j,hat j+hat k, hat k+hat i taken two at a ...

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  16. If vec d= vec axx vec b+ vec bxx vec c+ vec cxx vec a is non-zero vec...

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  17. If |a|=2a n d|b|=3 and adotb=0,t h e n(axx(axx(axx(axxb)))) is equal t...

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  18. If the two diagonals of one its faces are 6 hat i+6 hat ka n d4 hat ...

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  19. The volume of a tetrahedron formed by the coterminous edges vec a ...

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  20. If vec a , vec b , and vec c are three mutually orthogonal unit vector...

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