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If A(3, 4, 5), B(4, 6, 3), C(-1, 2, 4) a...

If A(3, 4, 5), B(4, 6, 3), C(-1, 2, 4) and D(1, 0, 5) are such that the angle between the lines `bar(DC) " and "bar(AB) " is " theta " then " costheta=`

A

`2/9`

B

`4/9`

C

`5/9`

D

`7/9`

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DIPTI PUBLICATION ( AP EAMET)-DIRECTION COSINES AND DIRECTION RATIOS-EXERCISE 1
  1. The angle between the lines passing through the points (8, 2, 0), (4, ...

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  2. The angle between the line passing through the points (3, 1, -2) and (...

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  3. If A(3, 4, 5), B(4, 6, 3), C(-1, 2, 4) and D(1, 0, 5) are such that th...

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  4. If the d.r.'s of two lines are (1, -1, 0) and (1, -2, 1) then the angl...

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  5. If the line joining the points (k, 1, 2), (3, 4, 6) is parallel to the...

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  6. If the line joining the points A(4, 1, 2), B(5, x, 0) is parallel to t...

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  7. If the d.r.'s of two lines are (x, 3, 5) and (2, -1, 2) and if the ang...

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  8. If the line joining the points (2, 3, 4), (0, 1, 2) is perpendicular t...

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  9. If O is the origin and P = (1, -2, 1) and OP bot OQ, then Q =

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  10. If the d.c. 's (l, m, n) of two lines are connected by the relations l...

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  11. If the d.c.'s (l, m, n) of two lines are connected by the relations l+...

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  12. If the d.c.'s (l, m,n) of two lines are connected by the relations 7l^...

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  13. If the d.c.'s (l, m, n) of two lines are connected by the relations l+...

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  14. If the d.c.'s (l, m, n) of two lines are connected by the relations 3l...

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  15. The direction ratios of two lines are given by a+b+c=0, 2ab+2ac-bc=0. ...

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  16. If the d.c.'s (l, m, n) of two lines are connected by the relations l+...

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  17. If the direction ratios of two lines are given by l+m+n=0, mn-2n+lm=0,...

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  18. If the direction rations of two lines are given by 3lm-4ln+mn = 0 and ...

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  19. The acute angle between the two lines whose direction ratios are given...

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  20. Find the angle between the lines whose d.c's are related by l + m + n ...

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