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Find the direction cosines of the fol...

Find the direction cosines of the following vectors: `2 hat i+2 hat j- hat k` `6 hat i-2 hat j-3 hat k` `3 hat i-4 hat k`

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

Find the direction cosines of the vector vec(F) = 4hat(i) + 3hat(j) + 2 hat(k)

Prove that the following vectors are coplanar: hat i+ hat j+ hat k ,\ 2 hat i+3 hat j- hat k\ a n d- hat i-2 hat j+2 hat k

Find the cosine of the angle between the vectors 4 hat i-3 hat j+3 hat k\ a n d\ 2 hat i- hat j- hat kdot

Find a unit vector in the direction of the resultant of the vectors hat i- hat j+3 hat k ,""2 hat i+ hat j-2 hat k"and"3 hat i +2 hat j-2 hat k""dot

Find the angle between the vectors hat i-2 hat j+3 hat k and 3 hat i-2 hat j+ hat kdot

Find the unit vector in the direction of the sum of the vectors 2 hat i+3 hat j- hat k and 4 hat i-3 hat j+2 hat kdot

Show that the points whose position vectors are as given below are collinear: 2 hat i+ hat j- hat k ,\ 3 hat i-2 hat j+ hat k\ a n d\ hat i+4 hat j-3 hat k 3 hat i-2 hat j+4 hat k ,\ hat i+ hat j+ hat k\ a n d-\ hat i+4 hat j-2 hat k

Evaluate the following: [ hat i\ hat j\ hat k]+[ hat j\ hat k\ hat i]+[ hat k\ hat i\ hat j] .

Find the projection of the vector vec a=2 hat i+3 hat j+2 hat k on the vector vec b=2 hat i+2 hat j+ hat k .

RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. A vector vec r\ is inclined to x-axis at 45^0 and y-axis at 60^0dot ...

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  2. Find the direction cosines of the following vectors: 2 hat i+2 hat...

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  3. Find the direction cosines of the following vectors: 2 hat i+2 hat...

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  4. Find the direction cosines of the following vectors: 2 hat i+2 hat...

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

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

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

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

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

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

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

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

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  13. Define zero vector.

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  14. Define unit vector.

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  15. Define position vector of point.

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

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

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

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

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

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