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A line passes through the points (6,-...

A line passes through the points `(6,-7,-1)a n d(2,-3,1)dot` Find te direction cosines off the line if the line makes an acute angle with the positive direction of the x-axis.

A

`(2)/(3), -(2)/(3), -(1)/(3)`

B

`-(2)/(3), (2)/(3), (1)/(3)`

C

`(2)/(3), -(2)/(3), (1)/(3)`

D

`(2)/(3), (2)/(3), (1)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
(a)
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ARIHANT MATHS ENGLISH-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
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  2. A (3,2,0) , B (5,3,2)C (-9,6,-3) are three points forming a triangle. ...

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  3. A line passes through the points (6,-7,-1)a n d(2,-3,1)dot Find te ...

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  4. If P is a point in space such that OP is inclined to OX at 45^(@) and ...

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  5. The direction cosines of the lines bisecting the angle between the lin...

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  6. The equation of the plane perpendicular to the line (x-1)/(1), (y-2)/(...

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  7. The locus of a point which moves so that the difference of the squares...

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  8. The position vectors of points a and b are hat(i)-hat(j)+3hat(k) and 3...

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  10. Let vector be the 2hat(i)+hat(j)-hat(k) then find the unit vector in ...

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  11. For the line (x-1)/1=(y-2)/2=(z-3)/3, which one of the following is...

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  12. Find the value of m for which the straight line 3x-2y+z+3=0=4x-3y+4z+1...

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  13. The length of projection of the line segment joining the points (1,0,-...

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  14. The number of planes that are equidistant from four non-coplanar point...

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  15. In a three-dimensional coordinate system, P ,Q ,a n dR are images o...

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  16. A plane passing through (1,1,1) cuts positive direction of coordinates...

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  17. If lines x=y=zandx=(y)/(2)=(z)/(3) and third line passing through (1,1...

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  18. Find the point of intersection of line passing through (0,0,1) and ...

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  19. Two system of rectangular axes have the same origin. If a plane cuts t...

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  20. The line (x+6)/5=(y+10)/3=(z+14)/8 is the hypotenuse of an isosceles ...

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