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(i) dot product of two vectors is not co...

(i) dot product of two vectors is not commutative
(ii) If `veci,vecj,veck` are unit vectors the `|veci+vecj+veck|= sqrt 3`
(iii) `(veca,vecb) X vecc` is not defined.
(iv)The magnitude of `2veci+vecj-2veck` is `sqrt3`Find which pair of statements are correct.

A

(i) and (ii) are true

B

(i) and (iv) are true

C

(iii) and (iv) are true

D

(ii) and (iii) are true

Text Solution

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The correct Answer is:
D
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PREMIERS PUBLISHERS-Vector Algebra -I-Choose Correct Option
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  2. Find which in suitable for the blank space given below:|veca.vecb|…….....

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  3. Assertion If D is the midpoint of the side BC of a triangle ABC then v...

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  4. Assertion If G is the centroid of the triangle ABC then vecGA+vecGB+v...

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  5. Find (veci+vecj).{(vecj+veck) X (veck+veci)}:

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  6. If veca +5vecb and 4veca+mvecbare parallel then m is :

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  7. If the projection of veca on vecb and projection of vecb on veca ar...

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  8. If 60^(@), 45^(@), alpha^(@)are the directional angles of a vector vec...

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  9. If aplha, beta, gamma are the directional angles of a vector then sin^...

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  10. If vecr=(5veca-3vecb)/2, then the point P whose position vector rdivid...

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  11. The Position vectors of A,B,C are 3veci+2vecj-veck, 2veci+4vecj+5veck ...

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  12. The projection of 2veci-vecj+2veck on veci+2vecj+2veck is :

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  13. If vec a,vecb,vecc are sides of triangle taken in order then avec+bvec...

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  14. If veca=xveci+vecj-veck,vecb=veci-vecj-veck,vecc=veci-2vecj+3veck and ...

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  15. If the points where position vector 5veci+3vecj,2veci-vecj and xveci+3...

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  16. If vecaand vecb are unit vector which are included at an angle of 360^...

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  17. If veca and vecb are of equal magnitude and angle between them is 30^(...

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  18. In a quadrilateral ABCD, vecAB+vecBC+ vecCD is:

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  19. If the vectors 2veci+vecj-veck, veci+3vecj-4veck and -veci-4vecj+lambd...

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