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find the position vector of the mid poi...

find the position vector of the mid point of the vector joining the points P(2,3,4) and Q(4,1,-2).

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Find the vector from origin to the mid-point of the vector vec(P_1P_2) joining the points P_1 (4,3) and P_2 (8, -5).

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USHA PUBLICATION-VECTORS THREE DIMENSIONAL GEOMETRY -EXERCISE
  1. Find veci*(veckxxvecj)

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  2. Find veci*(vecjxxveck)

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  3. find the position vector of the mid point of the vector joining the p...

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  4. Evaluate:hatixx(hatjxxhatk)+hatjxx(hatkxxhati)+hatkxx(hatixxhatj)

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  5. Using vector method find the area of the triangle with vertices (1, 0,...

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  6. What is the distance of the point (4, 5, -3) from y-axis ?

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  7. What is the distance of point (1,2,3,)from yz-plane?

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  8. What is the distance of the point (x, y, z) from x-axis?

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  9. Find the image of the point (5,3,-2)w.r.t yz-plane.

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  10. Find the number of points (x, y, z) in space other than the point (1,-...

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  11. Find the ratio in which the line segment through (1,3,-1) and (2,6,-2)...

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  12. Write the value of y so that the points (1,y,2),(3,2,-1) and (-4,6,3) ...

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  13. If O be the origin and P is the point (3,4,5),what are the direction c...

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  14. If a line makes angles alpha, beta  and gamma  with the positive direc...

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  15. If the d.cs of a straight line be << 2/7 , 3/7, k/7 >>, then what is t...

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  16. Fill in the blanks in the length of the projection of the line segment...

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  17. The projection of a line segment axes are 3,4,12.Find the length and d...

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  18. Find the equation of the plane passing through the line x = y = z and ...

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  19. State true or False .The planes 2x +4y -z + 1 = 0 and x - 2y - 6z + 3 ...

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  20. Write the equation of the plane 3x-4y+z+5=0 in normal form.

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