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Find λ and μ if (hat i+3 hat j+9 hat k) ...

Find `λ` and `μ` if `(hat i+3 hat j+9 hat k) xx (3 hat i-λ hat j+μ hat k) = vec 0`.

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Find λ and μ if (2 hat i + 6 hat j+27 hat k) xx (hat i +λ hat j +μ hat k) = vec 0

Find the shortest distance between the lines vec r = (hat i + 2 hat j + hat k) + lambda (hat i - hat j + hat k) and vec r = ( 2 hat i - hat j - hat k) + mu ( 2 hat i + hat J + 2 hat k)

Find the shortest distance (S.D.) between the lines : vec r = hat i + hat j + lambda (2 hat i- hat j + hat k) and vec r = 2 hat i + hat j- hat k + mu (3 hat i - 5 hat j + 2 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 vectors vec a = hat i +λ hat j +hat k, vec b= 2hat i -hat j-hat k and vec c =7 hat j +3hat k are coplanar.

Find the magnitude of vec a=(hat i+3 hat j- 2 hat k)*(-hat i+3 hat k) .

Find [vec a, vec b, vec c] if vec a= hati -2 hat j+ 3 hat k, vec b=2 hat i-3 hat j + hat k and vec c=3 hat i+ hat j -2 hat k .

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

Calculate the product ((hat i- 2 hat j+ 3 hat k) cross (2 hat i+ hat j- 3 hat k)) * (-3 hat i+ hat j+ 2 hat k ) .

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. What is the value of |hat a+ hat b + hat c| if hat a, hat b and hat c ...

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

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  3. Find λ and μ if (hat i+3 hat j+9 hat k) xx (3 hat i-λ hat j+μ hat k) =...

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

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  5. Classify the following measures as scalars and vectors, 10 g

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  6. Classify the following measures as scalars and vectors : 2 meters nort...

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  7. Classify the following measure as scalar and vector:40watt

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  8. Classify the following measures as scalars and vectors : 40 watt.

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  9. Classify the following measures as scalars and vectors : 10^(-19).

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  10. Classify the following measures as scalars and vectors: 20 m/s

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  11. Classify the following as scalar and vector quantities: time period

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  12. Classify the following as scalar and vector quantities: distance

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  13. Classify the following as scalar and vector quantities: force

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  14. Classify the following as scalar and vector quantities: velocity

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  15. Classify the following as scalar and vector quantities:work done

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  16. Answer the following ad true or false : veca and -veca are collinear.

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  17. Answer the following ad true or false : Two collinear vectors are alwa...

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  18. Answer the following ad true or false : Two vectors having same magnit...

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  19. Answer the following ad true or false : Two collinear vectors having t...

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  20. Compute the magnitude of the following vectors : vec a= hat i + hat j+...

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