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OABC is a parallelogram such that OA = a...

OABC is a parallelogram such that `OA = a, OB = b and OC =c`, then the value `vecOA. vecBA` is

A

`(a^(2)+3b^(2) +c^(2))/(2)`

B

`(a^(2)-b^(2) +3c^(2))/(2)`

C

`(a^(2)+3b^(2)-c^(2))/(2)`

D

`(3a^(2)+b^(2)-c^(2))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
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  6. Given the vectors a=3i-j+5k" and "b=i+2j-3k. A vector c which is perp...

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  7. IF veca, vecb, vecc are the position vectors of the vertices of an equ...

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  8. If a, b, c, d are the position vectors of points A, B, C and D respec...

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  9. The position vectors of four points A, B, C, D lying in a plane are a,...

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  10. Area of parallelogram whose adjacent sides of a = i +2j+3k, b = 3i-2j...

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  11. The vector A = 3i-k, b=i+2j are adjacent sides of a parallelogram . It...

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  12. The area of a parallelogram having diagonals a=3i+j-2k" and "b=i-3j+4k...

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  13. The area of a parallelogram is 5sqrt(3) then its diagonals are given b...

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  15. The area of parallelogram constructed on the vector a =m + 2n and b =2...

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  16. If u = q-r,r-p, p-q and v = (1)/(a),(1)/(b),(1)/(c) and a, b, c are T(...

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  17. If u = q-r,r-p,p-q and v = loga^(2), logb^(2), logc^(2) and a,b, c an...

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  18. Let vec r xx veca = vec b xx veca and vecc vecr=0, where veca.vecc ne ...

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  19. If a, b, c are non-collinear vectors such that a + b is parallel to c,...

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