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If OP = 21 and d.c. 's of vec(OP) are (2...

If OP = 21 and d.c. 's of `vec(OP)` are `(2/7, 6/7, -3/7)` then P =

A

(6, -12, 4)

B

(6, 18, -9)

C

(3/2, -6, 2)

D

(5, -10, 6)

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DIPTI PUBLICATION ( AP EAMET)-DIRECTION COSINES AND DIRECTION RATIOS-EXERCISE 1
  1. If OP = 21 and d.c. 's of vec(OP) are (2/7, 6/7, -3/7) then P =

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  2. If P = (-2, 3, 6) then the d.c.'s of vec(OP) are

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  3. The direction cosines of the line passing through P(2, 3, -1) and the ...

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  4. If a line makes anles pi//3, pi//4 with the positive x-axis and y-axis...

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  5. If a line makes angles 60^(@), 60^(@) with the positive x-axis and y-a...

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  6. If a line makes an angle of pi//4with the positive directions of each ...

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  7. if the angles made by a straight line with the coordinate axes are alp...

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

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  9. If a line in the space makes angles alpha, beta, " and " gamma with th...

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  10. A line makes the same angle theta, with each of the x and z axis. If t...

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  11. A line AB in three-dimensional space makes angles 45^(@) " and " 120^(...

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  12. A straight line is equally inclined to all the three coorinate axes. T...

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  13. The number of lines which are equally inclined to the coordinate axes ...

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  14. The d.c.'s of a line which is equally inclined to the coordinate axes ...

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  15. If the d.r.'s of a line are (3, -4, 12) then d.c.'s of the line are

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  16. The d.c.'s of the line joining the points A(4, 3, 1), B(-2, 1, -2) are

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  17. If (l(1),m(1),n(1)),(l(2),m(2),n(2)) are d.c's of two lines then find ...

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  18. If (2, 1, -1) and (1, -1, -1) are direction ratios of two lines, then ...

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  19. IF the d.r.'s of oversetharr(OA),oversetharr(OB) are (1, -2, -1), (3, ...

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  20. The direction ratios of two lines AB, AC are 1, -1, -1 and 2, -1, 1. T...

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