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Find | vec axx vec b| , if vec a= hat i...

Find `| vec axx vec b|` , if ` vec a= hat i-7 hat j+7 hat k and vec b=3 hat i-2 hat j+2 hat kdot`

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Find a unit vector perpendicular to each of the vector vec a+ vec b and vec a- vec b , where vec a=3 hat i+2 hat j+2 hat k and vec b= hat i+2 hat j-\ 2 hat k

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If vec a= 2 hat i- hat j+ hat k and vec b = - hat i+3 hat j+4 hat k ,then veca.vecb =

Find a unit vector perpendicular to each of the vectors ( vec a+ vec b) and ( vec a- vec b) , where vec a= hat i+ hat j+ hat k , vec b= hat i+2 hat j+3 hat k .

Find the vector of magnitude 3, bisecting the angle between the vectors vec a=2 hat i+ hat j- hat k and vec b= hat i-2 hat j+ hat kdot

Find the resultant of vectors vec a= hat i- hat j+2 hat k and vec b= hat i+2 hat j-4 hat kdot Find the unit vector in the direction of the resultant vector.

if vec a = 2 hat i- 3 hat j+hat k and vec b = hat i+2 hat j- 3hat k then vec aXvec b is

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CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. Let vec a , vec b ,a n d vec c be non-coplanar vectors and let the...

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  2. Vector vec O A= hat i+2 hat j+2 hat k turns through a right angle ...

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  3. Find | vec axx vec b| , if vec a= hat i-7 hat j+7 hat k and vec b=3 h...

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  4. Let the vectors vec a and vec b be such that | vec a|=3 and | vec b|=...

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  5. Show that ( vec a- vec b)xx( vec a+ vec b)=2( vec axx vec b)dot

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  6. Let vec a= hat i+4 hat j+2 hat k , vec b=3 hat i-2 hat j+7 hat ka n d...

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  7. If A ,Ba n dC are the vetices of a triangle A B C , then prove sine...

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  8. Using cross product of vectors , prove that sin (A+B)=sin A cosB + cos...

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  9. Find a unit vector perpendicular to the plane determined by the poin...

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  10. If vec a and vec b are two vectors, then prove that ( vec axx vec b...

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  11. In isosceles triangles A B C ,| vec A B|=| vec B C|=8, a point E divid...

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  12. Prove that in a tetrahedron if two pairs of opposite edges are perp...

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  13. Let vec a , vec b , and vec c are vectors such that | vec a|=3,| vec ...

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  14. If | vec a|=| vec b|=| vec a+ vec b|=1, then find the value of | vec a...

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  15. If vec A=4 hat i+6 hat j and vec B=3 hat j+4 hat k , then find the co...

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  16. A particle acted by constant forces 4 hat i+ hat j-3 hat k and 3 hat...

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  17. If veca , vecb , vecc are three mutually perpendicular unit ve...

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  18. Let vec a=x hat i+12 hat j- hat k , vec b=2 hat i+2x hat j+ hat ka n ...

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  19. If vec a , vec b ,a n d vec c are three non-coplanar vectors, then ...

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  20. If vec a , vec b , vec ca n d vec d are the position vectors of the...

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