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Find the measure of a acute angle betwee...

Find the measure of a acute angle between the line direction ratios are 5, 12, -13 and 3, -4, 5.

A

`cos^(-1)((7)/(65))`

B

`cos^(-1)((-7)/(65))`

C

`cos^(-1)((49)/(65))`

D

`cos^(-1)((-49)/(65))`

Text Solution

Verified by Experts

The correct Answer is:
D
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NIKITA PUBLICATION-THREE DIMENSIONAL GEOMETRY -MULTIPLE CHOICE QUESTIONS
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  2. If a line passing through (4, 1, 2) and (5, k, 0) is perpendicular to ...

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  3. Find the measure of a acute angle between the line direction ratios ar...

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  4. Find the angles between the line whose direction ratios are 4, -3, 5 a...

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  5. The acute angle between the lines whose direction ratios are 3, 2, 6 a...

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  6. The acute angle between the lines whose direction ratios are 1, 2, 2 a...

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  7. The acute angle between the lines whose direction ratios are 1, 1, 2 a...

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  8. An angle between the lines whose direction number are 1, -2, 1 and -6,...

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  9. If the angle between the lines with direction ratios a, 3, 5 and 2, -1...

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  10. If the angle between the vectors bar a and bar b having direction rat...

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  11. If the angle between the lines with direction ratios 2, -1, 1 and 1, k...

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  12. The two values of k for which the lines with direction ratios k, -6, ...

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  13. If the cosine of the angle between the lines with direction ratios 1, ...

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  14. The acute angle between the lines joining points (2, 1, 3) and (1, -1,...

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  15. If A-=(3,4-2),B-=(1,-1,2),C-=(0,3,2) and D-=(3,5,6), then the angle be...

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  16. The acute angle between the vectors bar(AB) and bar(CD), where A-=(1,2...

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  17. If triangleABC is right angled at B , where A(5,6,4), B(4,4,1) and C(8...

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  18. If Delta ABC is right angled at A, where A-=(4, 2, 3), B-=(3, 1, 8) an...

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  19. If DeltaABC, if A-=(3,2,6), B-=(1,4,5) and C-=(3,5,3), then m angle...

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  20. If A (0, 7, 10), B(-1, 6, 6) and C(-4, 9, 6) are the vertices of Delta...

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