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Let A(1, 2, 3), B(0, 0, 1) and C(-1, 1, ...

Let `A(1, 2, 3), B(0, 0, 1) and C(-1, 1, 1)` are the vertices of `triangleABC`.
Q. The area of`(triangleABC)` is equal to

A

`(9)/(2)`

B

`(sqrt(17))/(2)`

C

`(17)/(2)`

D

`(7)/(2)`

Text Solution

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The correct Answer is:
(b)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Passage Based Questions)
  1. Let A(1, 2, 3), B(0, 0, 1) and C(-1, 1, 1) are the vertices of triangl...

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  2. Let A(1, 2, 3), B(0, 0, 1), C(-1, 1, 1) are the vertices of a DeltaAB...

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  3. Let A(1, 2, 3), B(0, 0, 1) and C(-1, 1, 1) are the vertices of triangl...

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  4. Consider a plane x+y-z=1 and point A(1, 2, -3). A line L has the equat...

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  5. Consider a plane x+y-z=1 and point A(1, 2, -3). A line L has the equat...

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

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  7. Consider a triangulat pyramid ABCD the position vector of whose angula...

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  8. Consider a triangulat pyramid ABCD the position vector of whose angula...

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  9. Consider a triangulat pyramid ABCD the position vector of whose angula...

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

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

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

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

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

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

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

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

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

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

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

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