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Find the sum of the following vectors v...

Find the sum of the following vectors ` vec a= hat i-2 hat j ,\ vec b=2 hat i-3 hat j ,\ vec c=2 hat i+3 hat kdot`

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Find the sum of vectors vec a= hat i-2 hat j+ hat k ,\ vec b=-2 hat i+4 hat j+5 hat k\ a n d\ vec c= hat i-6 hat j-7 hat kdot

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If vec a=3 hat i-2 hat j+ka n d vec b=2 hat i-4 hat j-3k , find | vec a-2 vec b|dot

Show that each of the following triads of vectors are coplanar: vec a= hat i-2 hat j+3 hat k ,\ vec b=-2 hat i+3 hat j-4 hat k ,\ vec c= hat i-3 hat j+5 hat kdot

Show that the vectors vec a=3 hat i-2 hat j+ hat k , vec b= hat i+3 hat j+5 hat k , vec c=2 hat i+ hat j-4 hat k form a right angled triangle.

Write a unit vector in the direction of the sum of the vectors vec a=2 hat i+2 hat j-5 hat k\ a n d\ vec b=2 hat i+ hat j-7 hat kdot

Find the volume of the parallelepiped whose coterminous edges are represented by the vector: vec a=2 hat i-3 hat j+4 hat k ,\ vec b= hat i+2 hat j- hat k ,\ vec c=3 hat i- hat j-2 hat k .

Find the magnitude of the vectors vec a=2 hat i+3 hat j-6 hat kdot

Find the value of lambda so that the following vectorts are coplanar: vec a=2 hat i- hat j+ hat k ,\ vec b= hat i+2 hat j-3 hat k ,\ vec c=lambda hat i+lambda hat j+5 hat kdot

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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. For what value of a the vectors 2 hat i-3 hat j+4 hat k\ a n d\ a hat ...

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  2. Writhe the direction cosines of the vectors -2 hat i+ hat j-5 hat kdot

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  3. Find the sum of the following vectors vec a= hat i-2 hat j ,\ vec b=...

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  4. Find a unit vector in the direction of the vector vec a=3 hat i-2 hat...

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  5. If vec a=x hat i+2 hat j-z hat k\ and vec b=3 hat i-y hat j+ hat k a...

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  6. Write a unit vector in the direction of the sum of the vectors vec a=...

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  7. Find the value of ' p ' for which the vectors 3 hat i+2 hat j+9 hat k\...

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  8. Find a vector vec a of magnitude 5sqrt(2) making an angle of pi/4 wit...

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  9. Write a unit vector in the direction of vec P Q ,\ w h e r e\ P\ a n ...

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  10. Find a vector in the direction of vector 2 hat i-3 hat j+6 hat k which...

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  11. It | vec a|=4\ and-3lt=lambdalt=2, then write the range fo lambda |vec...

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  12. In a triangle OAC, if B is the mid point of side AC and vec O A= vec ...

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  13. If in a "Delta"A B C ,\ A=(0,0),\ B=(3,3sqrt(3)), C-=(-3sqrt(3),3) the...

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  14. If vec a ,\ vec b are the vectors forming consecutive sides of a reg...

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  15. Evaluate int\tan^2x\dx

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  16. If points A(60 hat i+3 hat j),\ B(40 hat i-8 hat j)a n d\ C(a hat i-52...

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  17. If G is the intersection of diagonals of a parallelogram A B C D and O...

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  18. The vector cosalpha\ cosbeta hat i+cosalpha\ sinbeta hat j+sinalpha ha...

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  19. In a regular hexagon A B C D E F ,\ A vec B=a ,\ B vec C= vec b\ a n d...

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  20. The vector equation of the plane passing through vec a ,\ vec b , ve...

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