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Two vectors in space are equal only i...

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

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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-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
  1. If A(veca).B(vecb) and C(vecc) are three non-collinear point and origi...

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  2. If veca, vecb, vecc are three given non-coplanar vectors and any arbit...

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  3. Two vectors in space are equal only if they have equal component in...

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

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

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  6. If veca,vecb,vecc are three mutually perpendicular vectors, then the v...

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  7. Let veca=hati+hatj and vecb=2hati-hatk. Then the point of intersection...

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

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  9. If hata,hatb and hatc are three unit vectors such that hata + hatb + h...

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  10. If veca, vecb,vecc are unit vectors such that veca.vecb = 0= veca.vecc...

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  11. P (vecp) and Q (vecq) are the position vectors of two fixed points and...

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  12. Two adjacent sides of a parallelogram ABCD are 2hati+4hatj -5 hatkand ...

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  13. If hata,hatb and hatc are three unit vectors inclined to each other at...

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  14. Let the pair of vector veca,vecb and vecc,veccd each determine a plane...

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

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

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  17. Vectors 3veca-5vecb and 2veca + vecb are mutually perpendicular. If ve...

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  18. The units vectors orthogonal to the vector - hat i + 2hat j + 2hat k ...

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  19. The value of x for which the angle between veca = 2x^(2) hati + 4x h...

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  20. If vectors veca and vecb are two adjacent sides of parallelograsm then...

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