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If vec a=4 hat i+3 hat j+hat k and vec b...

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

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 .

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

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

If vec a= 2 hat i+ hat j- hat k , vec b= -hat i+ 2 hat j- 4 hat k and vec c= hat i+ hat j+ hat k , find (vec a * vec b)* (vec a* vec c) .

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

Taking vec a= 2 hat i-3 hat j- hat k and vec b=hat i+4 hat j-2 hat k , verify that vec a * vec b = vec b*vec a .

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Find vec underset(1)(v)*vec underset(2)(v) if vec underset(1)(v)=3 hat...

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

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

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  4. Evaluate the following products: (3 hat i-6 hat j+2 hat k)*(2 hat i+ha...

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  5. Evaluate the following products: (2 hat i+3 hat j)*(-hat i+3 hat j +ha...

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  6. Evaluate the following products: (2,-1,1)*(3,4,-1).

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

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  8. If vec a=3 hat i+4 hat j and vec b=hat i-hat j+hat k, find the value o...

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

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  10. Given |quad vec a|=10,|quad vec b|=2 and vec a *vec b=12, find | vec a...

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  11. Define vec a*vec b where vec a and vec b are any two vectors. Find ve...

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

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  13. Find a unit vector perpendicular to both the planes of vec a and vec b...

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  14. Find a unit vector perpendicular to the plane of two vectors a=hat(i)-...

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  15. Find the equation of a plane through the points (3,-1,2), (1,-1,-3) an...

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  16. Find a unit vector perpendicular to each of the vectors hat i+2 hat j+...

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  17. Find the sine of the angle between the vectors : (3,0,3) and (1,2,-7)

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  18. Find the sine of the angle between the vectors : 2 hat i+ 4 hat j+ 4 ...

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  19. Determine the area of the parallelogram whose adjacent sides are the ...

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  20. Find the area of the parallelogram having two adjacent sides OA and OB...

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