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If vec a =2 hat i + 2 hat j +3 hat k, ve...

If `vec a =2 hat i + 2 hat j +3 hat k, vec b=-hat i + 2 hat j +hat k` then `vec a + vec b` is

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If vec a= 2 hat i+ hat j + 3 hat k and vec b= 3 hat i+ 5 hat j- 2 hat k , find | vec a * vec b |.

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 .

Compute vec a*(vec b xx vec c) where vec a = 2 hat i+ hat j + 3 hat k, vec b= - hat i +2 hat j + hat k and vec c = 3 hat i +hat j +2 hat k .

If vec a = -2hat i -2 hat j + 4 hat k, vec b=-2 hat i +4 hat j- 2 hat k and vec c = 4hat i -2 hat j -2hat k . prove that vec a, vec b, vec c are coplanar

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

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

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 .

If vec a = 6hat i - hat j+ 2hat k and vec b =hat i- 3hat j - 2 hat k , find vec a - vec b .

If vec a=2 hat i+2 hat j+3 hat k , vec b=-hat i+2 hat j+hat k and vec c=3 hat i+hat j be such that vec a+lambda vec b is at right angles to vec c , then find lambda .

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

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Evaluate the product (3 vec a-5 vec b)*(2 vec a+7 vec b).

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  2. Find the magnitude of two vectors veca and vecb, having the same magni...

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  3. If vec a =2 hat i + 2 hat j +3 hat k, vec b=-hat i + 2 hat j +hat k t...

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  4. Show that |vec a|vec b + |vec b|vec a perpendicular to |vec a|vec b - ...

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  5. If |a|=5,|a-b|=8 and |a+b|=10, then |b| is equal to

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  6. If vec a, vec b, vec c are unit vectors such that vec a+ vec b+ vec c ...

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  7. If either vector veca = 0or vecb = 0, then veca cdot vecb = 0.But the...

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  8. If the vertices A, B, C of a triangle ABC are (1,2,3), (-1,0,0), (0,1,...

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  9. Show that the points A(1,2,7), B(2,6,3) and C(3,10,-1) are collinear.

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  10. Show that the points A(2 hat i - hat j + hat k), B(hat i - 3 hat j- 5 ...

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  11. If vec a is a non-zero vector of magnitude ‘a’ and λ a non-zero scalar...

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  12. If vec a is a non-zero vector of magnitude ‘a’ and λ a non-zero scalar...

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  13. If vec a is a non-zero vector of magnitude ‘a’ and λ a non-zero scalar...

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  14. If vec a is a non-zero vector of magnitude ‘a’ and λ a non-zero scalar...

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  15. Find |vec a xx vec b|, if vec a = 2hat i-5 hat j+3 hat k and vec b = h...

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  16. Find a unit vector perpendicular to each of the vectors vec a+vec b an...

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  17. If a unit vector vec a, makes angles pi/3 with hat i. pi/4 with hat j ...

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  18. Show that (a-b)xx(a+b)=2(axxb)

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  19. Find λ and μ if (2 hat i + 6 hat j+27 hat k) xx (hat i +λ hat j +μ hat...

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  20. Given that vec a* vec b=0 and vec a xx vec b= vec 0. What can you conc...

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