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Find the volume of the parallelopied who...

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`

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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 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 .

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 .

Show that the vectors vec a= hat i- 2hat j+ 3hat k, vec b,= -2hat i + 3hat j- 4hat k and vec c =hat i - 3 hat j+5 hat k are coplanar.

Find λ such that the vectors vec v_1 =2 hat i - hat j +hat k, vec v_2= hat i +2hat j -3 hat k and vec v_3= 3 hat i +λ hat j +5 hat k are coplanar.

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

Prove that the vectors vec a = hat i- 2 hat j+ hat k , vec b= -2 hat i+ hat j+ hat k and vec c= hat i+ hat j-2 hat k are coplanar.

Find λ if the vectors vec a = hat i+3 hat j +hat k, vec b=2 hat i- hat j- hat k and vec c=λ hat j+3 hat k are coplanar.

Compute vec a*(vec b xx vec c) where vec a = 2 hat i+ hat j + 3 hat k, vec b= - hat i +2 hat j + hat k and vec c = 3 hat i +hat j +2 hat k .

Find λ such that the vectors vec a =hat i +3 hat j +hat k, vec b= 2 hat i -hat j - hat k and vec c= λ hat i +7 hat j +3 hat k are coplanar.

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Integrate the following int dx/(1+cosecx)

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  2. Integrate the following int dx/(1-cosecx)

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  3. Find the volume of the parallelopied whose co-terminus edges are repre...

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  4. Show that the vectors vec a= hat i- 2hat j+ 3hat k, vec b,= -2hat i + ...

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  5. Find λ such that the vectors vec v1 =2 hat i - hat j +hat k, vec v2= h...

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  6. Find λ such that the vectors vec a =hat i +3 hat j +hat k, vec b= 2 ha...

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  7. Prove that the points whose position vectors are 6 hat i - 7 hat j, 16...

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  8. Find x such that the four points A (4, 1, 2), B (5, x, 6), C (5, 1,-1)...

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  9. Find λ if the vectors vec a = hat i+3 hat j +hat k, vec b=2 hat i- hat...

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  10. Prove that [vec a+ vec b, vec b +vec c, vec c + vec a]= 2 [vec a vec b...

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  11. For any three vectors vec a,vec b and vec c , show that vec a- vec b,v...

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  12. Prove that [vec a -vec b, vec b - vec c, vec c- vec a] =0

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  13. Integrate the following int (cosx)dx/(1+sin^2x)

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  14. Prove that if vec a,vec b,vec c and vec d are any four vectors, then (...

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  15. Compute [vec a vec b vec c] where vec a = hat i- 2 hat j + 3 hat k, ve...

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  16. Compute [vec a vec b vec c] where vec a = hat i- 2 hat j + 3 hat k, ve...

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

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

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

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

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