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Write two different vectors having same...

Write two different vectors having same direction.

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To find two different vectors that have the same direction, we can use the concept of collinear vectors. Collinear vectors are vectors that are parallel to each other, meaning they point in the same direction but can have different magnitudes. Here’s how we can construct two such vectors step by step: ### Step-by-Step Solution: 1. **Choose a Vector**: Let's start by selecting a vector. We can choose a simple vector for ease of calculation. \[ \mathbf{b} = 1\mathbf{i} + 2\mathbf{j} + 3\mathbf{k} ...
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NCERT ENGLISH-VECTOR ALGEBRA-EXERCISE 10.2
  1. If vec aand vec bare two collinear vectors, then which of the foll...

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  2. In triangle ABC (Figure), which of the following is not true: (A) ...

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  3. Show that the vectors 2 hat i-3 hat j+4 hat kand -4 hat i+6 hat j-8 h...

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  4. Find a vector in the direction of vector 5 hat i- hat j+2 hat kwhich ...

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  5. Find the direction cosines of the vector joining the points A(1, 2, 3...

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  6. Find the direction cosines of the vector hat i+2 hat j+3 hat k.

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  7. Find the position vector of a point R which divides the line joining ...

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  8. Show that the vector hat i+ hat j+ hat k is equally inclined to the ...

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  9. Show that the points A, B and C with position vectors, veca=3 hat i-...

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  10. Find the position vector of the mid point of the vector joining the p...

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  11. Find the unit vector in the direction of vector vec(PQ), where P an...

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  12. For given vectors, -> a=2 hat i- hat j+2 hat kand -> b=- hat i+ hat...

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  13. Write two different vectors having same magnitude.

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  14. Write two different vectors having same direction.

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  15. Compute the magnitude of the following vectors: veca= hat i+ hat j+ h...

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  16. Find the sum of the vectors -> a= hat i-2 hat j+ hat k , -> b=-2 hat...

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  17. Find the unit vector in the direction of the vector veca= hat i+ ha...

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  18. Find the values of x and y so that the vectors 2 hat i+3 hat jand x h...

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  19. Find the scalar and vector components of the vector with initial poin...

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