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The acute angle between the vectors bar(...

The acute angle between the vectors `bar(AB)` and `bar(CD)`, where `A-=(1,2-1), B-=(2, 1,1), C-=(2, 1, -2), D-=(3, 2,1)` is

A

`"cos"^(-1)sqrt((6)/(11))`

B

`"cos"^(-1)sqrt((3)/(11))`

C

`cos^(-1)((6)/(sqrt(11)))`

D

`cos^(-1)((3)/(sqrt(11)))`

Text Solution

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The correct Answer is:
A
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NIKITA PUBLICATION-THREE DIMENSIONAL GEOMETRY -MULTIPLE CHOICE QUESTIONS
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  3. The acute angle between the vectors bar(AB) and bar(CD), where A-=(1,2...

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

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

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

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

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

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

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

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

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