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If bara,barb,barc are the position vecto...

If `bara,barb,barc` are the position vectors of the vertices of a triangle ABC, then the area of triangle ABC is

A

`abs(barabarbbarc)`

B

`1/2[barabarbbarc]`

C

`abs(baraxxbarb+barbxxbarc+barcxxbara)`

D

`1/2abs(baraxxbarb+barbxxbarc+barcxxbara)`

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-PRACTICE EXERCISE
  1. Let bara ,barb,barc be non coplanar vectors and bara^(1)=(barbxxbarc)/...

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  2. baraxxbara^(1)+barbxxbarb^(1)+barcxxbarc^(1)=

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  3. The vector [(bari-barj)xx(barj-bark)]xx(bari+5bark) is

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  4. Let bara,barb,barc be three vectors which satisfy baraxx(barbxxbarc)=(...

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  5. If bara=bari+barj+bark,bara.barb=1,baraxxbarb=2bari+barj-3bark then 3b...

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  6. Unit vector coplanar with bari+barj+2bark,bari+2barj+bark and perpendi...

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  7. If bara,barc,bard are coplaner then the value of (bard+bara).[baraxx{b...

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  8. Let bara, barb, barc be three vectors having magnitudes 1,1,2 respecti...

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  9. If bara,barb,barc are non-coplanar unit vectors such that baraxx(barbx...

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  10. Vector component of barb perpendicular to bara is

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  11. The vector equation of the plane passing through the points (1, -2, 5)...

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  12. Equation of the plane passing through the points with position vector...

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  13. Vector equation of the plane passing through bara, barb and parallel t...

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  14. The shortest distance between the straight line passing through the po...

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  15. The distance between the plane whose equation is barr · (2bari + barj-...

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  16. The vector equation of a straight line passing through bara and perpen...

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  17. If bara,barb,barc are the position vectors of the vertices of a triang...

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  18. Vector equation of the plane passing through the line barr =bara+ alph...

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  19. The lines barr =bara+ tbarb, barr = barc + bart^(1)bard are coplanar i...

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  20. Let bara=barj-bark and barc= bari -barj-bark. Then the vector barb sat...

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