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The vector vec(AB)=3hati+2hatj+2hatk and...

The vector `vec(AB)=3hati+2hatj+2hatk` and `vec(BC)= - hati-2hatk` are adjacent sides of a parallelogram ABCD the angle between the diagonals is :

A

`(pi)/(4)`

B

`(pi)/(3)`

C

`(2pi)/(3)`

D

`(3pi)/(4)`

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The correct Answer is:
A
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PREMIERS PUBLISHERS-APPLICATIONS OF VECTOR ALGEBRA-PROBLEMS FOR PRACTICE (Choose the correct answer)
  1. The projectionof hati-hatj on z axis:

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  2. Given veca*vecc=4, veca*vecd=3, vecb*vecc=2, vecb*vecd=3. Then value o...

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  3. The vector vec(AB)=3hati+2hatj+2hatk and vec(BC)= - hati-2hatk are adj...

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  4. If the angle between the lines having direction ratios (alpha, 3,5) an...

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  5. Let a, b, c be distinct non negative numbers. The vectors ahati+a hatj...

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  6. hati *(hatj xx hatk) +hatj(hatk xx hati) +hatk (hati xx hatj) is :

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  7. If veca is any vector then the value of Sigma (veca xx veci)^(2) is :

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  8. If (1-p)hati+2(1+p)hatj+(3+p)hatk and 3hati+hatj are at right angle to...

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  9. [veca, veca+vecb, veca+vecb+vecc] is :

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  10. The sum of the projection of 2hati+hatj+2hatk on the coordinate axis i...

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  11. If veca=hati-2hatj+hatk, vecb=hati+2hatj+3hatk, vec c=3hati+2hatj+hatk...

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  12. veca=2hati+3hatj-hatk vecb=hati-hatj-m hatk vec c= -hati+2hatj+hat...

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  13. The work done by the force vecF=2hati-3hatj+2hatk in moving a particle...

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  14. The area of the triangle formed by the points where position vector ar...

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  15. veca=hati-hatj+hatk, vecb=2hati+hatj-hatk, vec c=lambda hati-hatj+lamb...

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  16. If the equations 2x-lambday+5z=7 and lambda x-8y-10z+14=0 represent th...

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  17. Find the odd one out in the following :

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  18. Find the correct statement in the following given four points A, B, C,...

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  19. If veca and vecb lie in one plane and vec c and vecd lie on another pl...

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  20. If (veca xx vecb)xx vecc= veca xx (vecb xx vecc) and vecb perpendicula...

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