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Two vectors in space are equal only if...

Two vectors in space are equal only if they have equal component in a. a given direction               b. two given directions c. three given directions        d. in any arbitrary direction

A

a given direction

B

two given directions

C

three given direction

D

in any arbitrary direaction

Text Solution

Verified by Experts

The correct Answer is:
c

if `vecx = vecy Rightarrow hata.vecx = hata.vecy` this equality must hold for any arbitary `hata`
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CENGAGE PUBLICATION-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercises MCQ
  1. Two vectors in space are equal only if they have equal component in ...

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  2. Let veca, vecb and vecc be the three vectors having magnitudes, 1,5 an...

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  3. Let veca, vecb , vecc be three vectors of equal magnitude such that t...

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  4. Let vec pa n d vec q be any two orthogonal vectors of equal magnitu...

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  5. Let vec a= hat i+ hat j and vec b=2 hat i- hat k , then the point of ...

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  6. If veca and vecb are two vectors, such that veca.vecblt0 and |veca.vec...

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  7. If hat a , hat b ,a n d hat c are three unit vectors, such that ha...

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  8. If vec a , vec b , vec c are unit vectors such that vec a. vec b=0= ...

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  9. about to only mathematics

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  10. Two adjacent sides of a parallelogram A B C D are 2 hat i+4 hat j-5 ...

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  11. If hat a , hat b ,a n d hat c are three unit vectors inclined to ea...

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  12. Let the pairs a , b,and c ,d each determine a plane. Then the planes a...

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  13. If vecr.veca=vecr.vecb=vecr.vecc=0 " where "veca,vecb and vecc are non...

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  14. If veca satisfies vecaxx(hati+2hatj+hatk)=hati-hatk" then " veca is eq...

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  15. Vectors 3 vec a-5 vec b and 2 vec a+ vec b are mutually perpendicular....

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  16. The unit vector orthogonal to vector -hat i+ hat j+2 hat k and maki...

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  17. The value of x for which the angle between vec a=2x^2 hat i+4x hat ...

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  18. If vectors vec aa n d vec b are two adjacent sides of a parallelogr...

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  19. A parallelogram is constructed on 2 vec a+ vec ba n d vec a-4 vec b...

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  20. Let veca.vecb=0 where veca and vecb are unit vectors and the vector ve...

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