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If a line passing through the point with...

If a line passing through the point with position vector `vec(alpha)` and parallel to vector `vec(beta)` then the vector equation of the line is-

A

`vec(r)=vec(alpha)+vec(beta)`

B

`vec(r)=vec(alpha)-vec(tbeta)`

C

`vec(r)=vec(alpha)+vec(tbeta)`

D

none of these

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The correct Answer is:
C
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CHHAYA PUBLICATION-STRAIGHT LINE IN THREE DIMENSINAL SPACE -Exercise 4A
  1. The cartisian equation parallel to x-axis is -

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  2. If a line passing through the point with position vector vec(alpha) an...

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  3. The direction ratios of the line parallel to the line (x-1)/(3)=(y-5)/...

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  4. The direction ratios of the line 3x-2=2y+1=2z-4 are proportional to -

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  5. The equation of a line passing through the points (1,2,3) and (4,0,6) ...

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  6. The equation of a line passing through the points (5,2,7) and paraleel...

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  7. State which of the following statement is true ?

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  8. If the points P (1,2,3), Q(4,5,6) and R(7,8,9) are collinear then Q di...

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  9. If the line (x-x(1))/(a)=(y-y(1))/(b)=(z-z(1))/(c) is parallel to z-ax...

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  10. The equation of a line passing through the points (1,2,3) and (4,5,6) ...

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  11. Write the cartesian and vector equation of x- axis.

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  12. The cartesian equation of a line is (2x-5)/(3)=(6-3y)/(2)=(z+1)/(6) . ...

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  13. Write the direction cosines of the line 6x-2=3y+1=2z-4.

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  14. Write the coordinate axis to which the line (x-5)/(2)=(y+6)/(0)=(z-3)/...

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  15. Write the vector equation of the line (x-5)/(3)=(y+4)/(7)=(z-6)/(2).

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  16. Find the equation in vector form of a line which is parallel to the ve...

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  17. Find the vector and cartesian equations of the line through the point ...

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  18. The cartesian equation of a line is (x+3)/(2)=(y-5)/(4)=(z+6)/(2). the...

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  19. The cartesian equation of a line is 3x+2=5y-4=3-z. Find a point on t...

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  20. The cartesian equations of a line are 3x+1=6y-2=1-z. Find the fxed poi...

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