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If vec (PQ) =3 hat i+3 hat j+6 hat k and...

If `vec (PQ) =3 hat i+3 hat j+6 hat k `and Q is the point (4, 5, 6), find the point P.

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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 .

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

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

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Find the angle between the vectors hat i-hat j and hat j-hat k.

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  2. If vec a* vec a =0 and vec a* vec b =0, then what can be concluded abo...

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  3. If vec (PQ) =3 hat i+3 hat j+6 hat k and Q is the point (4, 5, 6), fin...

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  4. Find vec a* vec b if vec a=3 hat i+4 hat j-2 hat k and vec b=-2 hat i+...

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  5. If (vec a+ vec b)*(vec a- vec b)=0 and |vec a|=5, find |vec b|.

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  6. If (vec a)^2 =(vec b)^2, is it necessary that vec a= vec b ?

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  7. What is the angle between two unlike parallel vectors ?

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  8. If vectors vec a and vec b, are such that |vec a| =3,|vec b| =2/3 and ...

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  9. Find the sum of vectors vec a= 2 hati -hat j +hat k and vec b = 2 hat ...

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

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

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  12. Find a unit vector in the direction of vec(PQ) . where P and Q have co...

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

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  14. Find a vector of magnitude 11 in the direction opposite to that of vec...

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  15. Find the position vector of the point R which divides the line (segme...

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  16. if vec a = 2 hat i - hat j+ hat k, vec b =hat i+ hat j - 2 hat k and ...

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  17. Find the magnitude of a vector, whose components are 3, 4 and -12

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  18. Consider the points P (- 1, 0 2) and Q (3, -2 1), Write down vector v...

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

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  20. For any two vectors vec a and vec b, prove that (vec a* vec b)^ 2 le |...

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