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Find the volume of the Parallelopiped wh...

Find the volume of the Parallelopiped whose coterminous edges are represented by the vectors `2 hat i+ 3 hat j + 4 hat k,hat i +2 hat j - hat k and 3 hat i -hat j +2 hat k`.

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Find the volume of the Parallelopiped whose coterminous edges are represented by the vectors vec a = 2 hat i- 3 hat j + 4 hat k, vec b= hat i +2 hat j- hat k and vec c = 3 hat i -hat j +2 hat k .

Find the volume of the parallelopied whose co-terminus edges are represented by the vectors vec 1= 2 hat i+ hat j- hat k, vec 2,= hat i + hat 2j+ 3hat k and vec 3 =3 hat i - hat j+2 hat k

Find the volume of the Parallelopiped whose coterminous edges are represented by the vectors vec a = -3hat i+7 hat j + 5 hat k, vec b=-5 hat i +7 hat j- 3 hat k and vec c = 7 hat i -5 hat j -3 hat k .

Prove that the vectors 2 hat i- hat j+ hat k , hat i- 3 hat j- 5 hat k and 3 hat i- 4 hat j- 4 hat k are coplanar.

Find λ if the vectors hat i-hat j+ hat k, 3 hat i+ hat j+ 2 hat k and hat i+ λ hat j- 3 hat k are coplanar.

Find the angle between the vectors 2 hat i -hat j+ hat k and 3 hat i +4hat j - hat k

Find the angle between the vectors hat i -2 hatj +3 hat k and 3 hat i -2 hat j +hat k .

Find the area of the parallelogram whose adjacent sides are determined by the vectors vec a = hat i - hat j+ 3 hat k and vec b = 2hat i - 7hat j+ hat k

Find the angle between the vectors 3 hat i-2 hat j -6 hat k and 4 hat i-hat j-8 hat k .

Find the unit vector in the direction of sum of vectors -2 hat i- 3 hat j+ 2 hat k , 3 hat i+ 4 hat j- 2 hat k and hat i+ 2 hat j+ 6 hat k .

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Find the volume of the Parallelopiped whose coterminous edges are repr...

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  2. Find the volume of the Parallelopiped whose coterminous edges are repr...

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  3. Find the volume of the Parallelopiped whose coterminous edges are repr...

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  4. If vec α and vec β are any vectors, prove that vec β * (vec α xx vec β...

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  5. If vec a = -2hat i -2 hat j + 4 hat k, vec b=-2 hat i +4 hat j- 2 hat...

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  6. Show that the vectors vec a= 10 hat i -12 hat j -4 hat k, vec b=-16 ha...

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  7. If vec a = hat i +2 hat j +hat k, vec b= 3 hat i +2 hat j- 7hat k and ...

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  8. Integrate the following int xe^(3x)dx

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  9. Find λ if vectors vec a = hat i +λ hat j +hat k, vec b= 2hat i -hat ...

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  10. Find the value of scalar λ if the vectors vec a =2 hat i +hat j +hat ...

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  11. Prove that the four points 4 hat i +5 hat j +hat k, -(hat j+hat k) ,3...

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  12. Integrate the following int (2x+6)dx/(x^2+6x+49)

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  13. Show that the four points having position vectors 6 hat i-7 hat j, 16 ...

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  14. Integrate the following int xlog3xdx

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  15. If vec a =3 hat i -hat j +hat k, vec b= hat i +3hat j - hat k and ve...

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  16. Integrate the following int dx/(x^2+10x+9)

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  17. If vec a,vec b,vec c are any three vectors, prove that vec a xx (vec b...

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  18. For any vector vec a, prove that hat i xx (vec a xx hat i)+ hat j xx (...

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  19. If a,b and c are three non-zero vectors such that a*(bxxc)=0 and b and...

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  20. Integrate the following int xcos5xdx

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