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Find the direction cosines of the vec...

Find the direction cosines of the vector ` hat i+2 hat j+3 hat kdot`

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CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. Consider the set of eight vectors V[ahati+bhatj+chatk:a,b,c in {1-1}]....

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  2. Find the direction cosines of the vector joining the points A(1,2,-...

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  3. Find the direction cosines of the vector hat i+2 hat j+3 hat kdot

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  4. The median AD of the triangle ABC is bisected at E and BE meets AC at ...

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  5. Vectors vec a and vec b are non-collinear. Find for what value of...

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  6. i. If vec a , vec b and vec c are non-coplanar vectors, prove th...

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  7. Prove that a necessary and sufficient condition for three vectors ...

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  8. If vec a , vec b , vec ca n d vec d are distinct vectors such that ...

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  9. If vec a , vec ba n d vec c are non-coplanar vectors, prove that the ...

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  10. Find the unit vector in the direction of the vector vec a= hat i+ ...

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  11. let P an interioer point of a triangle A B C and A P ,B P ,C P meets t...

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  12. Let vec a , vec ba n d vec c be unit vectors, such that vec a+ vec b...

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  13. Let vec A and vec B be two non-parallel unit vectors in a plane. If...

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  14. If the vectors 3 vec p+ vec q ;5p-3 vec qa n d2 vec p+ vec q ;4 vec p-...

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  15. P(1,0,-1), Q(2,0,-3),R(-1,2,0)a n dS(3,-2,-1), then find the projectio...

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  16. A , B , C , D are any four points, prove that vec A Bdot vec C D+ v...

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  17. Let vec u=hat(i)+hat(j), vec v=hat(i)-hat(j) and vec w=hat(i)+2hat(j)+...

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  18. If the angel between unit vectors vec aa n d vec b60^0 , then find...

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  19. veca+vecb+vecc=vec0, |veca|=3, |vecb|=5,|vecc|=9,find the angle betwee...

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  20. Constant forces P1= hat i+ hat j+ hat k ,P2= - hat i+2 hat j- hat ka n...

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