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

Is it possible that `|quad vec a+ vec b|= |quad vec a|+ |quad vec b|`? If yes, when?

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If vec a and vec b are any two vectors, then prove that |quad vec a+ vec b|^2 + |quad vec a- vec b|^2= 2|quad vec a|^2 + 2|quad vec b|^2 .

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

If vec a and vec b are two vectors such that |quad vec a|=2 , |quad vec b|=1 and vec a. vec b=1 , then find the value of (3 vec a - 5 vec b).(2 vec a+7 vec b) .

If vec a, vec b, vec c are three vectors such that |quad vec a|=5,| , quad vec b|=12 and |quad vec c|=13 and if vec a+ vec b+ vec c= 0 , find the value of vec a* vec b + vec b* vec c + vec c* vec a .

If vec a , vec b and vec c are three vectors such that vec a+vec b+vec c=vec 0 , |quad vec a|=1 , |quad vec b|=4 and |quad vec c|=2 , then find the value of vec a.vec b+vec b.vec c+vec c.vec a .

If (vec a+ vec b)* (vec a- vec b)=0 , show that |quad vec a|=|quad vec b| .

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

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Find lambda in R such that |quad lambda vec a|=1, vec a being a non-ze...

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

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

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

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

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

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

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

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

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  12. If ABCD is a parallelogram and vec AB = vec a, vec BC= vec b then show...

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  13. If ABCD is a parallelogram and vec AB = vec a, vec BC= vec b then give...

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  14. ABC is any triangle and D,E,F are the mid-points of sides vec(BC),vec(...

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  15. ABCD is a parallelogram and [AC], [BD]are its diagonals. Express vec A...

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  16. ABCD is a parallelogram and [AC], [BD]are its diagonals. Express vec A...

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  17. Evaluate int dx/(x^2+10x+34)

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  18. ABCD is a parallelogram and AC, BD are its diagonals. Show that : vec(...

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  19. Apply vectors to prove that if a pair of opposite sides of quadrilater...

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  20. P is a point on the side BC of DeltaABC and Q is a point such that PQ ...

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