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The acute angle between the lines joinin...

The acute angle between the lines joining points (2, 1, 3) and (1, -1, 2) and the line having direction ratios 2, 1, -1 is

A

`30^(@) `

B

`45^(@)`

C

`60^(@)`

D

`120^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
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NIKITA PUBLICATION-THREE DIMENSIONAL GEOMETRY -MULTIPLE CHOICE QUESTIONS
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  2. If the cosine of the angle between the lines with direction ratios 1, ...

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

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

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

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

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

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

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  10. If bar a, barb, barc are three mutually perpendicular vectors of equal...

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  11. The angle between the lines whose direction cosines satisfy the equ...

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  12. Find the direction cosines of the two lines which are connected by ...

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  13. Find the acute angle between the two straight lines whose direction co...

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  14. The direction cosines l, m and n of two lines are connected by the rel...

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  15. If the direction ratio of two lines are given by 3lm-4ln+mn=0 and l+2m...

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  16. The angle between the lines whose direction cosines l, m, n satisfy t...

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  17. Find the angle between the lines whose direction cosines are given by ...

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  18. Direction ratios of two lines satisfy the relations 2a-b+2c=0 and ab+...

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  19. IF the direction ratios of two vectors are connected by the relations ...

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  20. The angle between diagonal of a cube and diagonal of a face of the c...

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