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Let veca, vecb and vecc be the three vec...

Let `veca, vecb and vecc` be the three vectors having magnitudes, 1,5 and 3, respectively, such that the angle between `veca and vecb "is" theta and veca xx (veca xxvecb)=vecc`. Then `tan theta` is equal to

A

0

B

`2/3`

C

`3/5`

D

`3/4`

Text Solution

Verified by Experts

The correct Answer is:
d
`vecaxx(vecaxxvecb)=veccRightarrow|veca||vecaxxvecb|=|vecc|`
`(vecabot (veca xx vecb))`
`1(1xx5)sin theta'=3 Rightarrowsin theta= 3/5 Rightarrowtan theta= 3/4 `
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CENGAGE ENGLISH-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercises MCQ
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  2. Let veca, vecb and vecc be the three vectors having magnitudes, 1,5 an...

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  3. Let veca, vecb , vecc be three vectors of equal magnitude such that t...

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  4. If veca,vecb,vecc are three mutually perpendicular vectors, then the v...

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  5. Let veca=hati+hatj and vecb=2hati-hatk. Then the point of intersection...

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  6. If veca and vecb are two vectors, such that veca.vecblt0 and |veca.vec...

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  7. If hata,hatb and hatc are three unit vectors such that hata + hatb + h...

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  8. If veca, vecb, vecc are unit vectors such that veca. vecb =0 = veca.ve...

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  9. P (vecp) and Q (vecq) are the position vectors of two fixed points and...

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  10. Two adjacent sides of a parallelogram ABCD are 2hati+4hatj -5 hatkand ...

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  11. If hat a , hat b ,a n d hat c are three unit vectors inclined to ea...

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  12. Let the pair of vector veca,vecb and vecc,veccd each determine a plane...

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  13. If vecr.veca=vecr.vecb=vecr.vecc=0 " where "veca,vecb and vecc are non...

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  14. If veca satisfies vecaxx(hati+2hatj+hatk)=hati-hatk" then " veca is eq...

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  15. Vectors 3veca-5vecb and 2veca + vecb are mutually perpendicular. If ve...

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  16. The units vectors orthogonal to the vector - hat i + 2hat j + 2hat k ...

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  17. The value of x for which the angle between veca = 2x^(2) hati + 4x h...

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  18. If vectors veca and vecb are two adjacent sides of parallelograsm then...

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  19. A parallelogram is constructed on 3veca+vecb and veca-4vecb, where |ve...

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  20. Let veca.vecb=0 where veca and vecb are unit vectors and the vector ve...

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