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Statement 1 : Points A(1,0),B(2,3),C(5,3...

Statement 1 : Points `A(1,0),B(2,3),C(5,3),a n dD(6,0)` are concyclic. Statement 2 : Points `A , B , C ,a n dD` form an isosceles trapezium or `A Ba n dC D` meet at `Edot` Then `E AdotE B=E CdotE Ddot`

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CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. Statement 1: Vector vec c=-5 hat i+7 hat j+2 hat k is along the bisec...

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

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

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

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  5. Let vec a = a1 hat i + a2 hat j+ a3 hat k;vec b = b1 hat i+ b2 hat j+...

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

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  7. If vec a\ a n d\ vec b\ a n d\ vec c are mutually perpendicular uni...

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

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

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  10. For any two vec aa n d vec b ,( vec axx hat i).( vec bxx hat i)+( vec...

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  11. 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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  12. If vec a is parallel to vec bxx vec c , then ( vec axx vec b)dot( ve...

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

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

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

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

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

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  19. Vector vec c is perpendicular to vectors vec a=(2,-3,1)a n d vec...

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  20. Given vec a=x hat i+y hat j+2 hat k , vec b= hat i- hat j+ hat k , ve...

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