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Find λ such that the vectors vec a =hat ...

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.

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Show that the vectors vec a= hat i- 2hat j+ 3hat k, vec b,= -2hat i + ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. 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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