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If veca,vecb,vecc are mutually perpendic...

If `veca,vecb,vecc` are mutually perpendicular vectors of equal magnitude show that `veca+vecb+vecc` is equally inclined to `veca, vecb and vecc`

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The correct Answer is:
`cos ^(-1) (1)/(sqrt3)`
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if veca,vecb and vecc are mutally perpendicular vectors of equal magnitudes, then find the angle between vectors and veca+ vecb+vecc .

If veca,vecb,vecc are three mutually perpendicular vectors, then the vector which is equally inclined to these vectors is (A) veca+vecb+vecc (B) veca/|veca|+vecb/|vecb|+vec/|vecc| (C) veca/|veca|^2+vecb/|vecb|^2+vecc/|vecc|^2 (D) |veca|veca-|vecb|vecb+|vecc|vecc

If veca, vecb, vecc are mutually perpendicular vectors having magnitude 1,2,3 respectively, then [vec(a)+vecb+vecc, vecb-veca, vecc] =

If veca,vecb and vecc are three mutually perpendicular unit vectors and vecd is a unit vector which makes equal angal with veca,vecb and vecc , then find the value of |veca+vecb+vecc+vecd|^(2) .

If veca,vecb and vecc are three mutually perpendicular unit vectors and vecd is a unit vector which makes equal angal with veca,vecb and vecc , then find the value of |veca+vecb+vecc+vecd|^(2) .

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Let veca vecb and vecc be pairwise mutually perpendicular vectors, such that |veca|=1, |vecb|=2, |vecc| = 2 , the find the length of veca +vecb + vecc .

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Statement 1: veca, vecb and vecc arwe three mutually perpendicular unit vectors and vecd is a vector such that veca, vecb, vecc and vecd are non- coplanar. If [vecd vecb vecc] = [vecdvecavecb] = [vecdvecc veca] = 1, " then " vecd= veca+vecb+vecc Statement 2: [vecd vecb vecc] = [vecd veca vecb] = [vecdveccveca] Rightarrow vecd is equally inclined to veca, vecb and vecc .

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CBSE COMPLEMENTARY MATERIAL-VECTORS -FOUR MARKS QUESTIONS
  1. If hata and hatb are unit vectors inclined at an angle theta then prov...

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  2. If hata and hatb are unit vectors inclined at an angle theta then prov...

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  3. If veca,vecb,vecc are mutually perpendicular vectors of equal magnitud...

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  4. For any vector veca |veca xx hati|^(2) + |veca xx hatj|^(2) + |vec...

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  5. Show that (veca xx vecb)^(2) = |veca| ^(2) |vecb|^(2) - (veca.vecb)^(2...

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  6. If veca, vecb and vecc are the position vectors of vertices A,B,C of a...

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  7. Let veca , vecb , vecc be unit vectors such that veca .vecb =0=veca....

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  8. if veca + vecb + vecc=0, then show that veca xx vecb = vecb xx vecc = ...

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  9. If veca = hati + hatj + hatk, vecc = hatj - hatk are given vectors, th...

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  10. Let, veca , vecb and vecc be three non zero vectors such that vecc is ...

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  11. If the vectors vecalpha = a hati + hatj + hatk, vecbeta = hati + b hat...

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  12. Find the altitude of a parallelepiped determined by the vectors veca, ...

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  13. Prove that the four points (4hati + 5 hatj+hatk), - (hatj +hatk),(3hat...

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  14. If |veca| =3, |vecb|=4 and |vecc|=5 such that each is perpendicular to...

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  15. Decompose the vector 6 hati - 3 hatj - 6 hatk into vectors which are p...

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  16. If veca, vecb and vecc are vectors such that veca. vecb = veca.vecc, v...

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  17. If veca, vecb and vecc are three non zero vectors such that veca xx v...

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  18. For any three vectors veca, vecb, vecc the value of [(veca-vecb, vecb-...

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  19. If [veca vecbvecc]=2 find the volume of the parallelepiped whose co-te...

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

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