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Find the angles at which the following v...

Find the angles at which the following vectors are inclined to each of the coordinates axes:
`hatj-hatk`

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Find the angles at which the following vectors are inclined to each of the coordinates axes: hati

Find the angles at which the following vectors are inclined to each of the coordinates axes: hati-hatj+hatk .

Find the angles at which the following vectors are inclined to each of the coordinates axes: 4hati+8hatj+hatk .

Find the angle at which the vector vecv=2hati-6hatj+2hatk is inclined to each of the coordinate axes.

Find the scalar product of the following pairs of vectors and the angle between them : hati+3hatj-8hatk and -3hati-5hatj+4hatk .

Find the angles between each of the following pairs of lines: vecr=4hati-hatj+lambda(hati+2hatj-hatk) and vecr=hati-hatj+2hatk-mu(2hati+4hatj-4hatk)

Find the angle between the vectors : hati-hatj and hatj-hatk .

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the angles at which the following vectors are inclined to each of...

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

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

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

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  5. Can a vector have direction angles 45^@, 60^@ and 120^@?

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  6. A line makes angles 45^@ and 60^@ with the positive direction of the a...

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  7. If a line makes angles 90^(@),60^(@) and 30^(@) with the positive dire...

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  8. A line passes through the points (6,-7,-1)a n d(2,-3,1)dot Find the ...

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  9. A vector vecr has length 14 and direction numbers <2,6,-3>. Find the d...

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  10. A vector vecv is inclined at equal angles to the positive directions o...

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  11. Show that the line joining the mid points of two sides of a triangle i...

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  12. The Cartesian equations of a line are (x-5)/3 = (y+4)/7 =(z-6)/2. Ve...

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  13. The Cartesian equation of a line is (x+3)/2 = (y-5)/4 = (z+6)/2. Find...

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  14. A line passes through the point with position vector 2hati-hatj+4hatk...

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  15. Find the vector equation for the line through the points A(3,4,-7) and...

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  16. The cartesian equation of a line is 6x - 2 = 3y + 1 = 2z - 2. Find :(a...

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  17. Find the equations of a line through A(1,-1,0) and parallel to the lin...

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  18. The points A(4, 5, 10), B(2, 3, 4) and C(1, 2, -1) are three vertices ...

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  19. Show that the two lines (x-5)/4=(y-7)/4=(z+3)/-5 and (x-8)/7=(y-4)/1=(...

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  20. Show that the lines : (x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6...

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