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Let veca ,vecb and vecc be pairwise mutu...

Let `veca ,vecb and vecc` be pairwise mutually perpendicular vectors, such that `|veca|=2, |vecb|=3, |vecc| = 6`, the find the length of ` veca +vecb + vecc`.

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`|veca+vecb+vecc|^(2)=(veca+vecb+vecc).(veca+vecb+vecc)`
`= |veca|^(2)+|vecb|^(2)+|vecc|^(2)+2veca.vecb + 2veca.vecb+2vecb.vecc+2vecc.veca`
`=1+4+4+0+0+0=9`
`Rightarrow |veca+vecb+vecc|=3`
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CENGAGE PUBLICATION-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise 2.1
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  6. Let veca ,vecb and vecc be pairwise mutually perpendicular vectors, su...

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  7. If veca +vecb +vecc=0, |veca|=3,|vecb|=5, |vecc|=7 , then find the ang...

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  8. If the angle between unit vectors veca and vecb is 120^(@) . Then find...

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  9. Let vecu=hati+hatj,vecv=hati-hatj and vecw=hati+2hatj+3hatk. If hatn i...

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  10. A , B , C , D are any four points, prove that vec A Bdot vec C D+ v...

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  14. Let vec a , vec ba n d vec c be unit vectors, such that vec a+ vec b...

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  15. If veca and vecb are unit vectors, then find the greatest value of |ve...

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  16. Constant forces P1= hat i+ hat j+ hat k ,P2= - hat i+2 hat j- hat ka n...

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  17. Find |veca|and |vecb|, if (veca+vecb).(veca-vecb) =8 and |veca|=8|vecb...

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  18. If A ,B ,C ,D are four distinct point in space such that vec(A B) is...

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