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Let r=a+lambdal and r=b+mum br be two li...

Let `r=a+lambdal and r=b+mum` br be two lines in space, where `a= 5hat(i)+hat(j)+2hat(k), b=-hat(i)+7hat(j)+8hat(k), l=-4hat(i)+hat(j)-hat(k), and m=2hat(i)-5hat(j)-7hat(k)`, then the position vector of a point which lies on both of these lines, is

A

`hat(i)+2hat(j)+hat(k)`

B

`2hat(i)+hat(j)+hat(k)`

C

`hat(i)+hat(j)+2hat(k)`

D

None of these

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The correct Answer is:
(a)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. The line (x+6)/5=(y+10)/3=(z+14)/8 is the hypotenuse of an isosceles ...

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  2. Consider the following 3lines in space L1:r=3hat(i)-hat(j)+hat(k)+la...

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  3. Let r=a+lambdal and r=b+mum br be two lines in space, where a= 5hat(i)...

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  4. L1a n dL2 and two lines whose vector equations are L1: vec r=lambda((c...

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  5. The vector equations of two lines L1 and L2 are respectively vec r=1...

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  6. Consider three vectors p=i+j+k, q=2i+4j-k and r=i+j+3k. If p, q and r ...

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  7. Intercept made by the circle zbarz+bara+a barz+r=0 on the real axis ...

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  8. If the distance between the planes 8x+12y-14z=2 and 4x+6y-7z=2 can be ...

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  9. A plane passes through thee points P(4, 0, 0) and Q(0, 0, 4) and is pa...

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  10. If from the point P(f, g, h) perpendicular PL and PM be drawn to yz an...

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  11. The plane XOZ divides the join of (1, -1, 5) and (2, 3, 4)in the ratio...

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  12. A variable plane forms a tetrahedron of constant volume 64k^3 with the...

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  13. Let ABCD be a tetrahedron such that the edges AB, AC and AD are mutual...

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  14. Equations of the line which passe through the point with position vect...

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  15. Which of the following planes are parallel but not identical? P1: 4x...

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  16. A parallelopied is formed by planes drawn through the points (1, 2, 3)...

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  17. Vector equation of the plane r = hati-hatj+ lamda(hati +hatj+hatk)+mu(...

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  18. The vector equations of two lines L1 and L2 are respectively, L1:r=2i+...

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  19. Consider the plane (x,y,z)= (0,1,1) + lamda(1,-1,1)+mu(2,-1,0) The dis...

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  20. The value of a for which the lines (x-2)/(1)=(y-9)/(2)=(z-13)/(3) and ...

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