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Direction cosines of the line passing th...

Direction cosines of the line passing through `A(2,3,-1)and B(-3,-4,2)` are

A

`(-5)/(sqrt(83)),(-7)/(sqrt(83)),3/(sqrt(83))`

B

`5/(sqrt(83)),7/(sqrt(83)),3/(sqrt(83))`

C

`(-7)/(sqrt(83)),3/(sqrt83),(-5)/(sqrt(83))`

D

`-5,-7,3`

Text Solution

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A
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MARVEL PUBLICATION-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS
  1. Direction cosines of a line , whose direction ratios are -2,1,2 are

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  2. If P is (-1,1,2) , then direction cosines of line OP are

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  3. Direction cosines of the line passing through A(2,3,-1)and B(-3,-4,2) ...

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  4. Find the value of p for which the line through the points A(4, 1, 2) a...

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  5. Given P = (3,-6,10)and PQ = sqrt(17) . If direction cosines of line PQ...

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  6. If l,m,n are direction cosines of a line , then vector li +mj+nk is a

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  7. If |bar(u)| = sqrt(3) and bar(u) is equally inclined to co - ordinate...

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  8. If |bar(u)|=2 and bar(u) makes angles of 60^(@) and 120^(@) with OX a...

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  9. If a line makes angles theta(1), theta(2), theta(3) with the coordinat...

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  10. Find the angle between the lines whose direction ratios are: 2,-3,4 ...

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  11. If bar(a),bar(b),bar (c ) are pair wise mutually perpendicular vectors...

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  12. If direction ratios of two lines are 2,-6,-3 and 4,3,-1 then directi...

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  13. A line makes 45^(@) with OX and equal angles with OY and OZ .Then the ...

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  14. What is the angle between the two lines whose direction numbers are (s...

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  15. If the line of the vector bar (r ) = lambda I + 2j - k makes angles a...

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  16. The number of lines which are equally inclined to the axes is :

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  17. The projection of the line segment joining the points A(-1,0,3) and B(...

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  18. Direction Cosines of a normal to the XOY - plane are

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  19. If the direction cosines of a line are 1/c,1/c,1/c rthen (A) c.0 (B) 0...

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  20. A mirror and a source of light are situated at the origin O and at a...

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