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If theta is the angle between vec a = 2i...

If `theta` is the angle between `vec a = 2i-j+k` and `vec b = i+2j+k`, then `cos theta=`

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HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
  1. If vec (OA) = i+2j+3k, vec (OB) = 3i+j-2k and vec (OC) = 2i-3j+k then ...

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  2. vec OA = i+xj+2k, vec OB = 2i+k and vec OC =-i+j+k and vec AB is perpe...

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  3. If theta is the angle between vec a = 2i-j+k and vec b = i+2j+k, then ...

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  4. I . (j xx k) + j . (k xx i) + k . (i xx j) =

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  5. If vec a = i +j and vec b = j-k then the angle between vec a + vec b a...

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  6. If vec a = i-j, vec b = i+2k, then vec a . vec b =

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  7. If vec p, vec q, vec r are any three vectors, which of the following i...

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  8. If 3i-5j + 7k and 2i+xj+2k are orthogonal then x =

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  9. If vec a = i + 2j, vec b = j +2k, vec c = i+2k then vec a . (vec b xx ...

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  10. If |vec a| = 2, |vec b| = 5 and |vec a xx vec b| = 8 then vec a . vec ...

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  11. The three points whose position vectors are vec a - vec 2b + 3 vec c, ...

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  12. If the points whose position vectors are 60i+3j, 40i-8j and li-52j are...

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  13. If the vectors vec a = ki +3j and vec b = 4i + kj (k ne 0) are colline...

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  14. If vec alpha and vec beta are two vectors such atht veca. vecb =0 and ...

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  15. The vectors vec a + vec b + vec c, 2 vec a+ vec b + 3 vec c and vec a ...

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  16. If vec a and vec b are mutually perpendicular unit vectors, then (3 ve...

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  17. If |vec a| = 2, |vec b| = 5 and |vec a xx vec b| = 8 then vec a . vec ...

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  18. If vec a, vec b, vec c are non coplanar vectors such that, vec b xx ve...

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  19. If |vec a| = 2, |vec b| = 5 and |vec a xx vec b| = 8 then vec a . vec ...

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  20. Let vec(a) = hat(i) - 2hat(j) +3hat(k) . If vec(b) is a vector such ...

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