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The vector area of triangle position vec...

The vector area of triangle position vectors of whose vertices are `veca,vecb,vecc` is

A

`(vecA.(vecBxx vecC) + vecB. (vecC xx vecA)+ vecC. (vecAxxvecB))/(3)`

B

`vecA.(vecB xx vecC)`

C

`(vecA xx vecB + vecBxx vecC +vecC xx vecA)/(6)`

D

`vecA xx (vecB xx vecC)`

Text Solution

Verified by Experts

The correct Answer is:
C
Area `=(1)/(2) [vecA xx vecB]= (1)/(2) [vecB xx vecC]= (1)/(2)[vecC xx vecA]`
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GRB PUBLICATION-VECTORS-OBJECTIVE QUESTIONS
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  8. Projection of 2hati + 6hatj on Z-axis is :

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  9. vecR is the resultant of vecA and vecB . vecR is inclined to vecA a...

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  10. hata, hatb and hatc are unit vectors. If the hata +hatb = hatc, th...

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  11. Diagonals of a parallelogram are respresented by vectors vecA = 5ha...

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  12. A particle is moving on a cicular path of radius 'R' . As it moves ...

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  13. If vec(A) makes an angle alpha, beta and gamma from x,y and z axis res...

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  14. Magnitudes of vectors vecP, vecQ and vecR are equal, If vecP + vecQ+...

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  15. A vector vecA is rotated through angle theta about its tail. Chan...

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  16. A particle is moving on a circular path with a constant speed 'v'. ...

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  17. Linear momentum of an object can be expressed as vecP= (4 cos t)ha...

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  18. vecA and vecB are two vectors. (vecA + vecB) xx (vecA - vecB) can...

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  19. Vertices of a triangle are A(3, 1, 2), B(1, -1, 2) and C(2, 1, 1). ...

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  20. A vector remins unchanged on :

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