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If P(sqrt(3),1,2sqrt(3)) is a point in ...

If P`(sqrt(3),1,2sqrt(3))` is a point in space, find direction cosines of `vec(OP)`.

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The correct Answer is:
`((sqrt(3))/(4),(1)/(4),(sqrt(4))/(2))`
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AAKASH SERIES-DIRECTION COSINES AND RATIOS-EXERCISE - 7.1 (VERY SHORT ANSWER QUESTION)
  1. A ray makes angles pi//3, pi//3 with bar(OX) and bar(OY) respectively....

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  2. A straight line is inclined to the axes of x and y at angles of 60^(@)...

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  3. If alpha, beta, gamma are the angles made by a line with the positive ...

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  4. If a line makes angles alpha,beta,lambda with the coordinate axes vec...

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  5. Find the d.c's of a line that makes equal angles with the axes, and fi...

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  6. Find the direction ratios of the line joining the points (3,4,0) and (...

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  7. The direction ratios of a line are (-6,2,3) Find its direction cosines...

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  8. If the direction ratios of a line are (3,4,0) find its direction cosin...

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  9. If P(sqrt(3),1,2sqrt(3)) is a point in space, find direction cosines ...

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  10. Find the direction cosines of the line joining the points (-4,1,7),(2,...

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  11. If P(-2,4,-5) and Q(1,2,3) are two points. Find the direction cosines ...

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  12. Find the conine of the angle between the lines whose direction cosines...

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  13. Find the angle between the lines whose direction ratios are (1,1,2)(sq...

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  14. Show that the lines with direction cosines ((12)/(13),(-3)/(13),(-4)/(...

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  15. O is the origin, P(2,3,4) and Q(1,k,1) are points such that bar(OP)bot...

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  16. Find 'x' if the angle between he lines with direction ratios (x,4,5) a...

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  17. Show that the line through the points (1,-1,2), (3,4,-2) is perpendicu...

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  18. Find the angle between bar(DC) and bar(AB) where A = (3,4,5), B = (4,6...

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  19. Show that the lines bar(PQ) and bar(RS) are parallel where P,Q,R,S are...

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  20. For what value of x the line joining A(4,1,2), B(5,x,0) is perpendicul...

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