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Two vectors in space are equal only if t...

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

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 ENGLISH-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. veca, vecb and vecc are three vectors of equal magnitude. The angle b...

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  4. If veca,vecb and vecc are three mutually perpendicular vectors, then t...

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

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

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

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

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

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

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  12. Let the pair of vector veca,vecb and vecc,vecd each determine a plane....

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

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  16. the unit vector orthogonal to vector -hati+2hatj+2hatk and making equa...

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  17. The value of x for which the angle between veca=2x^(2)hati+4xhatj + ha...

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  18. If vectors veca and vecb are two adjecent sides of a paralleogram, the...

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  19. A parallelogram is constructed on 3veca+vecb and veca-4vecb, where |ve...

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

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