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Show that the points A(0,1,2),B(2,-1,3)a...

Show that the points `A(0,1,2),B(2,-1,3)a n dC(1,-3,1)` are vertices of an isosceles right-angled triangle.

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RD SHARMA ENGLISH-DIRECTION COSINES AND DIRECTION RATIOS-All Questions
  1. Find the distance between the points P(-2,4,1) and Q(1,2,5).

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  2. Prove by using distance formula that the points P(1,2,3),Q(-1,-1,-1)a ...

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  3. Show that the points A(0,1,2),B(2,-1,3)a n dC(1,-3,1) are vertices of ...

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  4. Find the coordinates of a point equidistant from the four points O(...

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  5. Using vector method prove that the points A(6,−7,−1),B(2,−3,1) and C(...

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  6. Find the coordinates of the point which divides the joint of P(2,-1...

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  7. Find the ratio in which the line joining the points (1,2,3)a n d(-3...

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  8. Find the ratio in which the join the A(2,1,5)a n dB(3,4,3) is divided ...

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  9. Using distance formula prove that the following points are collinear: ...

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  10. The mid-points of the sides of a triangle are (1,5,-1),(0,4,-2)a n d(2...

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  11. Find the coordinates of the points which trisect the line segment A ...

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  12. Show that the centroid of the triangle with vertices A(x1,\ y1,\ z1...

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  13. Find the coordinates of the foot of the perpendicular drawn from th...

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  14. Find the angle between the vectors with direction ratios proportion...

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  15. "P"(6," "3," "2)," Q"(5," "1," "3)"andR"(3," "3," "5) are three vert...

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  16. Find the direction cosines of the line which is perpendicular to the...

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  17. If ,"l"1,"m"1,("\ n")1("\ and\ l")2,"m"2,"n"2 be the direction cosi...

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  18. If ,"l"1,"m"1,("\ n")1("\ and\ l")2,"m"2,"n"2 be the direction cosi...

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  19. The angel between the two diagonals of a cube is a. 30^0 b. 45^0 c. ...

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  20. If a line makes angle 90o, 60oand 30owith the positive direction of ...

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