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Find the magnitude of vec v underset 1= ...

Find the magnitude of `vec v underset 1= (3 hat k+ 4 hat j)* (hat i+ hat j- hat k)`.

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

Find the angle between the vectors: vec v underset 1= hat i-2 hat j- 2 hat k and vec v underset 2=2 hat i+ 3 hat j- 6 hat k .

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

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 .

Compute the magnitude of the following vectors : vec a= hat i + hat j+ hatk, vec b=2 hat i- 7 hat j- 3 hat k, vec c= 1/sqrt3 hat i +1/sqrt3 hat j- 1/sqrt3 hatk

Find all vectors of magnitude 10 sqrt 3 that are perpendicular to the plane of vectors vec a=hat i+2 hat j+hat k and vec b=-hat i+3 hat j+4 hat k .

Find the area of the parallelogram whose adjacent sides are given by vectors vec a= 3 hat i+ hat j+ 4 hat k and vec b= hat i- hat j+ hat k .

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

Find vec v underset 1 * vec v underset 2 when vec v underset 1= 4 hat i+ 12 hat j- 3 hat k , vec v underset 2= -2 hat i+ 6 hat j+ 9 hat k .

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Find the magnitude of vec v underset 1= (3 hat k+ 4 hat j)* (hat i+ ha...

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  2. Classify the following physical quantities into scalars and vectors: ...

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  3. Classify the following physical quantities into scalars and vectors: ...

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  4. Classify the following physical quantities into scalars and vectors: ...

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  5. Classify the following physical quantities into scalars and vectors: ...

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  6. Classify the following physical quantities into scalars and vectors: ...

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  7. Classify the following physical quantities into scalars and vectors: ...

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  8. Classify the following physical quantities into scalars and vectors: ...

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  9. Classify the following physical quantities into scalars and vectors: ...

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  10. Classify the following physical quantities into scalars and vectors: ...

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  11. Find lambda in R such that |quad lambda vec a|=1, vec a being a non-ze...

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  12. If |quad vec a|=2, find |quad 4 vec a |, |10 vec a| and |(-5 ) vec a |...

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  13. Is it possible that |quad vec a+ vec b|= |quad vec a|+ |quad vec b|? I...

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  14. If vec a = vec b, is it true that |quad vec a|=|quad vec b| ?

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  15. Does |quad vec a|= |quad vec b| imply vec a= vec b?

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  16. If A,B,C,D are the points with position vectors vec a,vec b, 3 vec a+ ...

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  17. If vec c= 3 vec a + 4 vec b and 2 vec c = vec a- 3 vec b, show that ve...

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  18. If the position vector of a point A is vec a + 2 vec b and vec a divi...

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  19. If ABC is triangle and D is the mid-point of [BC], prove that vec AB +...

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

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

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