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If vec a \ a n d \ vec b are two non-c...

If ` vec a \ a n d \ vec b` are two non-collinear unit vector, and ` ∣ ​ veca + vecb ∣ ​ = 3 ​ then (2 veca −5 vecb ).(3 veca + vecb )`=

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CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
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  2. If vec a+2 vec b+3 vec c=0,t h e n vec axx vec b+ vec bxx vec c+ vec ...

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  3. If vec a \ a n d \ vec b are two non-collinear unit vector, and ...

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  5. vec a , vec b ,a n d vec c are unimodular and coplanar. A unit vector...

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  6. Vectors perpendicular to hat i- hat j- hat k and in the plane of hat...

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  7. If side vec A B of an equilateral trangle A B C lying in the x-y plan...

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  8. If vec a, vec b,vec c and vec d are unit vectors such that (vec a xx v...

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  9. Let two non-collinear unit vector hat a a n d hat b form an acute a...

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  10. Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec...

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  11. If vec a , vec b and vec c are three non-zero, non coplanar vector...

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  12. The unit vector which is orthogonal to the vector 3 hat i+2 hat j+6 ...

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  13. If vec a and vec b are unequal unit vectors such that ( vec a- vec ...

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  14. If veca,vecb,vecc are 3 unit vectors such that vecaxx(vecbxxvecc)=vec...

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  15. Prove that [[ vec a+ vec b, vec b+ vec c, vec c+ vec a]]=2[ [vec a, ve...

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  16. A vector vec d is equally inclined to three vectors vec a= hat i+ ...

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  17. If axx(bxxc)=(axxb)xxc , then a. ( vec cxx vec a)xx vec b= vec0 b. v...

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  18. If hat a , hat b ,a n d hat c are three unit vectors inclined to ea...

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  19. Let the pairs a , b,and c ,d each determine a plane. Then the planes a...

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