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What is the cosine of the angle which th...

What is the cosine of the angle which the vector `sqrt(2) hat i+ hat j+ hat k` makes with y-axis?

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To find the cosine of the angle that the vector \(\sqrt{2} \hat{i} + \hat{j} + \hat{k}\) makes with the y-axis, we can follow these steps: ### Step 1: Identify the vector The given vector is: \[ \vec{A} = \sqrt{2} \hat{i} + \hat{j} + \hat{k} \] ...
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RD SHARMA-ALGEBRA OF VECTORS-Solved Examples And Exercises
  1. Find the position vector of the mid point of the line segment A B ,\ ...

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  2. Find a vector in the direction of vec a=2 hat i- hat j+2 hat k , whic...

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  3. What is the cosine of the angle which the vector sqrt(2) hat i+ hat j+...

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  4. Write two different vectors having same magnitude.

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  5. Write two different vectors having same direction.

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  6. Write a vector in the direction of vector 5 hat i- hat j+2 hat k which...

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  7. Writhe the direction cosines of the vector hat i+2 hat j+3 hat kdot

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  8. Find a unit vector in the direction of vec a=2 hat i-3 hat j+6 hat k

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  9. For what value of a the vectors 2 hat i-3 hat j+4 hat k\ a n d\ a hat ...

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  10. Writhe the direction cosines of the vectors -2 hat i+ hat j-5 hat kdot

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  11. Find the sum of the following vectors vec a= hat i-2 hat j ,\ vec b=...

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  12. Find a unit vector in the direction of the vector vec a=3 hat i-2 hat...

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  13. If vec a=x hat i+2 hat j-z hat k\ and vec b=3 hat i-y hat j+ hat k a...

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  14. Write a unit vector in the direction of the sum of the vectors vec a=...

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  15. Find the value of ' p ' for which the vectors 3 hat i+2 hat j+9 hat k\...

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  16. Find a vector vec a of magnitude 5sqrt(2) making an angle of pi/4 wit...

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  17. Write a unit vector in the direction of vec (PQ) where PQ are the poi...

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  18. Find a vector in the direction of vector 2 hat i-3 hat j+6 hat k which...

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  19. It | vec a|=4 and -3 le lambda le 2, then write the range of lambda |v...

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  20. In a triangle DeltaOAC, if B is the mid point of side AC and vec (O A...

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