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If theta is the angle between the vector...

If `theta` is the angle between the vectors 2i-2j+4k and 3i+j+2k then `sin theta =`

A

`2/10`

B

`sqrt10`

C

`2/sqrt10`

D

`2/sqrt7`

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The correct Answer is:
B
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HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
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  2. If vec a = 2i+3j-4k, vec b = i + j +k and vec c = 4i+2j+3k, then |vec...

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  3. If theta is the angle between the vectors 2i-2j+4k and 3i+j+2k then si...

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  4. If two out of the three vectors vec a, vec b, vec c are unit vectors, ...

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  5. (sin theta+i cos theta)^(9)=

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  6. If OACB is a parallelogram with vec OC = vec a and vec AB = vec b then...

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  7. If vec a, vec b, vec c, vec d are the coplanar vectors then (vec a xx ...

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  8. With usual notation [i-j j-k k-i] =

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  9. If theta is the angle between any two vector vec a and vec b, then |ve...

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

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  11. ABCD is a parallelogram, with AC, BD as diagonals. Then vec AC - vec B...

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  12. If vec a = i+j+k, vec b = i+j, vec c = i and (vec a xx vec b) xx vec c...

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  13. If vec a, vec b, vec c be the position vectors of the vertices A, B, C...

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  14. If vec a, vec b, vec c are three vectors such that vec a = vec b + vec...

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  15. If A, B, C are the vertices of a triangle whose position vectors are v...

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  16. If i+2j+3k, 3i+2j+k are sides of parallelogram, then a unit vector par...

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  17. If the vectors vec a = 2i+3j+6k and vec b are collinear and |vec b| = ...

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  18. If vec a . i = vec a . (2i+j) = vec a . (i+j+3k) = 1, then vec a =

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  19. If i-2j, 3j+k and lambda i + 3j are coplanar then lambda =

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