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Show that the vector i+j+k is equally in...

Show that the vector `i+j+k` is equally inclined with the axes `O X ,\ O Y\ a n d\ O Zdot`

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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. Find the angles at which the following vectors are inclined to each ...

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  2. Find the angles at which the following vectors are inclined to each ...

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  3. Show that the vector i+j+k is equally inclined with the axes O X ,\ O ...

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  4. Show that the direction cosines of a vector equally inclined to the ...

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  5. If a unit vector vec a makes an angle pi/3 with hat i ,\ pi/4 with ...

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  6. Find a vector vec r of magnitude 3sqrt(2) units which makes an angle ...

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  7. A vector vecr is inclined at equal angle to the three axes. If the ma...

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  8. Define zero vector.

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  9. Define unit vector.

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  10. Define position vector of point.

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  11. Write vec P Q+ vec R P+ vec Q R in the simplified form.

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  12. If vec a\ a n d\ vec b represent two adjacent sides of a parallel th...

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  13. If vec a ,\ vec b ,\ vec c\ represent the sides of a triangle take...

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  14. If vec a ,\ vec b ,\ vec c are position vectors of the vertices A ,...

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  15. If vec a ,\ vec b ,\ vec c are position vectors of the vertices of ...

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  16. If vec a ,\ vec b ,\ vec c are position vectors o the point A ,\ B ...

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  17. If G denotes the centroid of Delta \ A B C ,\ then write the value of...

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  18. If D is the mid point of side BC of a triangle ABC such that vec A B+...

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  19. If D ,\ E ,\ F are the mid points of the side B C ,\ C A and A B respe...

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  20. If vec a\ is a non zero vecrtor iof modulus a and m is a non zero s...

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