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Let u=hat(i)+hat(j), v=hat(i)-hat(j) and...

Let `u=hat(i)+hat(j), v=hat(i)-hat(j) and w=hat(i)+2hat(j)+3hat(k)`. If `hat(n)` is a unit vector such that `u*hat(n)=0 and v*hat(n)=0`, then `|w*hat(n)|` is

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CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. P(1,0,-1), Q(2,0,-3),R(-1,2,0)a n dS(,-2,-1), then find the projection...

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

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  3. Let u=hat(i)+hat(j), v=hat(i)-hat(j) and w=hat(i)+2hat(j)+3hat(k). If ...

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

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

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

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  7. If vec a , a n d vec b are unit vectors , then find the greatest v...

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  8. Let G1, G2a n dG3 be the centroids of the triangular faces O B C ,O ...

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  9. Prove that hat(i)times(a+hat(i))+hat(j)times(atimeshat(j))+hat(k)times...

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  10. If hat ixx[( vec a- hat j)xx hat i]+ hat jxx[( vec a- hat k)xx hat j]...

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  11. Let vec a , vec b ,and vec c be any three vectors, then prove that ...

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  12. If [ vec a vec b vec c]=2, then find the value of [( vec a+2 vec b- ve...

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  13. If vec a , vec b , vec c are mutually perpendicular unit vectors, fin...

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  14. If a ,ba n dc are three non-cop0lanar vector, non-zero vectors then ...

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  15. Prove that vectors vec u=(a l+a1l1) hat i+(a m+a1m1) hat j+(a n+a1n1)...

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  16. For any four vectors, prove that ( veca × vecb )×( vecc × vec...

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  17. If vec ba n d vec c are two-noncollinear vectors such that vec a...

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  18. If the vertices A,B,C of a triangle ABC are (1,2,3),(-1,0,0) ,(0,1,2) ...

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  19. Let vec a , vec ba n d vec c be pairwise mutually perpendicular v...

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  20. Show that | vec a| vec b+| vec b| vec a is a perpendicular to | vec a|...

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