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Find the direction cosines of the vector...

Find the direction cosines of the vector joining the points `A(1, 2, -3) and B(-1, -2, 1)` directed from `A` to `B`.

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MODERN PUBLICATION-VECTOR ALGEBRA -Ncert File Question from Ncert Book (Exercise 10.2)
  1. Compute the magnitude of the following vectors: -> a= hat i+ hat j+ h...

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  2. Write two different vectors having same magnitude.

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  3. Write two different vectors having same direction.

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  4. Find the values of 'x' and 'y' so that vectors 2hat(i)+3hat(j) and x h...

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  5. Find the scalar and vector components of the vector with initial point...

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  6. Find the sum of the vectors vec(a)=hat(i)-2hat(j)+hat(k), vec(b)=-2...

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  7. Find the unit vector in the direction of the vector vec a= hat i9+...

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  8. Find the unit vector in the direction of vector -> P Q , where ...

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

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

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  11. Show that the vectors 2 hat i-3 hat j+4 hat k\ a n d-4 hat i+6 hat j-8...

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  12. Find the direction cosines of the vector hat i+2 hat j+3 hat kdot

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

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  14. Show that the vector hat i+ hat j+ hat kis equally inclined to the a...

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

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  16. Find the position vector of the mid point of the vector joining the ...

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  17. Show that the points A ,\ B\ a n d\ C with position vectos vec a=3 ha...

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  18. In triangle ABC, which of the following is not true :

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  19. If vec(a) and vec(b) are two collinear vectors, then which of the foll...

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