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CBSE CLASS XII

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Vectors-3D-Lines (1Mark)

Page 3 of 6

  1. Three vectors satisfy the condition Evaluate the quantity
  2. The Cartesian equations of a line AB are . Find the direction ratios of the line AB.
  3. Find direction cosines of a line which is equally inclined with the axes.
  4. If a line makes angles ∏ /4 with each of X –axis and Y-axis, then what angle does it makes with the Z- axis.
  5. If | a + b | = | a - b | then find the angle between a and b
  6. If a is a unit vector and ( x - a ).( x + a ) = 8 , then find | x |.
  7. What is the angle between vectors with magnitude respectively?
  8. If a is unit vector and (x – a). (x + a) = 8, then find |x|.
  9. Find a unit vector perpendicular to each of the vectors
  10. If
  11. The Cartesian equation of a line AB is . Find the direction cosines of a line parallel to AB.
  12. If and , find a unit vector parallel to the vector
  13. Find the direction cosine of the line which is perpendicular to lines whose direction cosine are proportional 1,-2,-2 and 0,2,1

 

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Submitted By Mrs. E.Praveen
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