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Find a unit vector perpendicular to both...

Find a unit vector perpendicular to both the vectors `4 hat i-hat j+3 hat k` and `-2 hat i+hat j-2 hat k`.

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Find a unit vector perpendicular to both the vectors hat i-2 hat j+3 hat k and hat i+2 hat j-hat k .

Find a unit vector perpendicular to each of the vectors hat i+2 hat j+3 hat k and -3 hat i-2 hat j+hat k . Also find the area of the parallelogram determined by these vectors.

Find a unit vector perpendicular to both the vectors (3 hat i + 2 hat j - hat k) and ( hat i + 2 hat j + hat k) .

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

Show that the vectors 2 hat i -3 hat j +4 hat k and -4 hat i +6 hat j -8 hat k are collinear.

Find a vector of magnitude 6 units which is at right angles to both the vectors 2 hat i- hat j +2 hat k and 4 hat i- hat j+3 hat k

Find a unit vector perpendicular to the plane of two vectors a=hat(i)-hat(j)+2hat(k) and b=2hat(i)+3hat(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 .

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Find a unit vector perpendicular to both the vectors 4 hat i-hat j+3 h...

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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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