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Find a unit vector in the direction of v...

Find a unit vector in the direction of vector `vecb = hati + 2hatj + 3hatk`.

A

`(1)/(sqrt(14))hati+(2)/(sqrt(14))hatj+(3)/(sqrt(14))hatk`

B

`(2)/(sqrt(14))hati+(1)/(sqrt(14))hatj+(3)/(sqrt(14))hatk`

C

`(1)/(sqrt(14))hati+(3)/(sqrt(14))hatj+(2)/(sqrt(14))hatk`

D

`(3)/(sqrt(14))hati+(1)/(sqrt(14))hatj+(2)/(sqrt(14))hatk`

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AAKASH INSTITUTE-VECTOR ALGEBRA-ASSIGNMENT (SECTION-A)
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  2. For any two vectors veca and vecb, which one of the following is not t...

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  3. Find a unit vector in the direction of vector vecb = hati + 2hatj + 3h...

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  4. Prove that the vectgors 2hati-hatj+hatk, hati-3hatj-5hatk and 3hati-4h...

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  8. Given that 0.4hati+0.8hatj+b hatk is a unit vector . What is the valu...

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  9. ABCD is parallelogram. If L and M are the middle points of BC and CD, ...

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  10. If veca=hati+hatj, vecb=hatj+hatk, vec c hatk+hati, a unit vector par...

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  11. p1 hati+p2hatj is a unit vector perpendicular to 4hati-3hatj if

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  12. If vecOA=veca,vecOB=vecb,vecOC=2veca+3vecb,vecOD=veca-2vecb, the lengt...

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  13. Let veca=3hati-hatj, vecb=hati-2hatj, vec c=-hati+7hatj and vecp=veca+...

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  14. If vecaxxvecb=vecaxxvec c,veca ne 0, then

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  15. Given two vectors veca=2hati-3hatj+6hatk, vecb=-2hati+2hatj-hatk and...

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  16. The area of parallelogram whose diagonals coincide with the following ...

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  17. Let veca,vecb ,vecc be three nonzero vectors such that veca+vecb+vecc...

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  18. If vecaxxvecb=vecc,vecb xx vecc=veca, where vecc != vec0, then

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  19. ABCDEF is a regular hexagon where centre O is the origin, if the posit...

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  20. hati.(hatjxxhatk)+hatj.(hatixxhatk)+hatk.(hatixxhatj) is equal to

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