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Consider a triangular pyramid ABCD the p...

Consider a triangular pyramid ABCD the position vectors of whose angular points are `A(3, 0, 1), B(-1, 4, 1), C(5, 2, 3) and D(0, -5, 4)`. Let G be the point of intersection of the medians of triangle BCD. Q. Area of triangle ABC in sq. units is

A

`24`

B

`8sqrt(6)`

C

`4sqrt(6)`

D

None of these

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The correct Answer is:
(c)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Passage Based Questions)
  1. Find the image of point (1, 2,-1) in the plane 2x +y-z=10.

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  2. Consider a triangular pyramid ABCD the position vectors of whone agula...

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  3. Consider a triangular pyramid ABCD the position vectors of whose angul...

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  4. Consider a triangular pyramid ABCD the position vectors of whone agula...

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  5. Consider a triangular pyramid ABCD the position vectors of whone agula...

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  6. A line L1 passes through the point 3i and parallel to the vector − i +...

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  7. A line L1 passing through a point with position vector p=i+2h+3k and ...

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  8. A line L1 passing through a point with position vector p=i+2h+3k and ...

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  9. For positive l, m and n, if the points x=ny+mz, y=lz+nx, z=mx+ly inter...

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  10. For positive l, m and n, if the points x=ny+mz, y=lz+nx, z=mx+ly inter...

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  11. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

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  12. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

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  13. If vec a=6hat(i)+7hat(j)+7hat(k), find the unit vector along with this...

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  14. If A(-2,2,3)a n dB(13 ,-3,13) are two points. Find the locus of a poin...

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  15. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Coordina...

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  16. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Equation...

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  17. Expand |(3, 6), (5,0)|

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  18. If b be the foot of perpendicular from A to the plane rcdothat(n)=d, t...

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  19. What is vector equation of the line

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  20. A circle is the locus of a point in a plane such that its distance fro...

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