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Find a unit vector parallel to the sum o...

Find a unit vector parallel to the sum of the vector `vec a= hat i+ hat j+ hat k`, `vec b= 3 hat i+ hat j- 4 hat k` and `vec c=-2 hat i- hat j-hat k`.

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Find the unit vector in the direction of 3 hat i- 6 hat j- 2 hat k.

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  2. Find the unit vector in the direction of 12 hat i- 5 hat k.

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  3. Find a unit vector parallel to the sum of the vector vec a= hat i+ hat...

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  4. Show that the points A,B and C whose position vectors are repectively ...

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  5. Find the unit vector in the direction of sum of vectors -2 hat i- 3 ha...

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  6. If vec AB= a underset 1 hat i+ a underset 2 hat j+ a underset hat k an...

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  7. Find a unit vector in the direction of vec a- 2 vec b+ 3 vec c if vec ...

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  8. Find the points of trisection of [PQ] if the position vectors of P and...

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  9. Show that the point A,B,C and D whose position vectors are respectivel...

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  10. The position vectors of the points A, B, C and D are respectively 4 ha...

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  11. Find the magnitude and components of the vector 2(-1,0,3) + 3(1,1,2)-(...

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  12. Prove that the points A (1,2,3), B(2,3,1) and C(3,1,2) are the vertice...

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  13. Prove that the points (1,1,1),(-2,4,1),(-1,5,5) and (2,2,5) taken in o...

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  14. If the points (-1,-1,2),(2,m,5) and (3,11,6) are collinear, find the v...

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  15. Using vectors, find the value of 'k' such that the points (k,-10,3),(1...

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  16. The sides of a parallelogram represent the vectors 2 hat i- 4 hat j+ 5...

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  17. Let vec a= 2 hat i- 2 hat j+ hat k, vec b= 2 hat i+ 3 hat j+ 6 hat k a...

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  18. Prove that the points whose position vectors are hat i - hat j+ hat k,...

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  19. Prove that the vectors vec a = hat i- 2 hat j+ hat k, vec b= -2 hat i+...

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  20. Show that the points (1,1,1),(2,-1,2),(-1,2,2) and (2,2,-1) are coplan...

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