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Prove that vecA.(vecAxxvecB)=0...

Prove that `vecA.(vecAxxvecB)=0`

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`A xx B` is perpendicular to A. Now, dot product of two perpendicular vectors is zero. Hence,
`A(AxxB) =0` .
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DC PANDEY ENGLISH-VECTORS-Subjective
  1. The work done by a force vecF during a displacement vecr is given by v...

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  2. If vecA,vecB,vecC are mutually perpendicular show that vecCxx(vecAxxve...

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  3. Prove that vecA.(vecAxxvecB)=0

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  4. Find the resultant of the three vectors shown in figure (2W1). .

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  5. Given an example for which vecA.vecB=vecC.vecB but vecA!=vecC.

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  6. Obtain the angle between A+B and A-B if A = 2hati +3hatj and B = hati ...

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  7. Deduce the condition for the vectors 2hati + 3hatj - 4hatk and 3hati -...

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  8. Find the area of the parallelogram whose sides are represented by 2hat...

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  9. If vectors A and B be respectively equal to 3hati - 4hatj + 5hatk and ...

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  10. if A = 2hati - 3hatj+7hatk, B = hati + 2hatj and C=hatj - hatk. Find A...

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  11. The x and y-components of vector A are 4 m and 6 m respectively. The x...

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  12. Three vectors which are coplanar with respect to a certain rectangular...

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  13. Let vecA and vecB be the two vectors of magnitude 10 unit each. If the...

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  14. The resultant of vectors vec(OA) and vec(OB) is peerpendicular to vec(...

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  15. Find the components of a vector A = 2hati + 3hatj along the direction...

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  16. If two vectors are A = 2hati + hatj - hatk and B = hatj - 4hatk. By ca...

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  17. The resultant of two vector A and B is at right angles to A and its ma...

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  18. Four forces of magnitude P, 2P, 3P and 4P act along the four sides of ...

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  19. If P + Q = R and P - Q = S, prove that R^2 + S^2 = 2(P^2 + Q^2)

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  20. In an Delta ABC as showin in Fig. 2 . (2) .71 (a) prove that a/(sin...

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