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Find lambda and mu if (2hati+6hatj+27hat...

Find `lambda` and `mu` if `(2hati+6hatj+27hatk)xx(hati+lambdahatj+muhatk) = vec0`.

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The vectors lambdahati + hatj + 2hatk, hati + lambdahatj +hatk, 2hati - hatj + 2hatk are coplanar, if:

Find lambda if the vectors hati+hatj+2hatk, lambdahati-hatj+hatk and 3hati-2hatj-hatk are coplanar.

Find the angle between the line vecr = (hati +2hatj -hatk ) +lambda (hati - hatj +hatk) and vecr cdot (2hati - hatj +hatk) = 4.

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MAHAVEER PUBLICATION-VECTOR-QUESTION BANK
  1. If = veca = hati-7hatj+7hatk and vecb = 3hati-2hatj+2hatk find vecaxxv...

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  2. Evaluate (3veca-5vecb).(2veca+7vecb)

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  3. Find lambda and mu if (2hati+6hatj+27hatk)xx(hati+lambdahatj+muhatk) =...

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  4. Show that, (veca-vecb)xx(veca+vecb) = 2(vecaxxvecb).

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  5. Find the scalar triple product vectors hati+2hatj+3hatk, hati-hatj+hat...

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  6. Find lambda if the vectors hati+hatj+2hatk, lambdahati-hatj+hatk and 3...

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  7. Show that the points A(-2, 3, 5), B(1, 2, 3) and C(7, 0, -1) are colli...

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  8. Show that the points with position vectors hati+2hatj+7hatk, 2hati+6ha...

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  9. Find the angle between the vectors hati-2hatj+3hatk and 3hati-2hatj+ha...

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  10. Show that the vectors 1/7(2hati+3hatj+6hatk), 1/7 (3hati-6hatj+2hatk) ...

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  11. If veca = 5hati-hatj-3hatk, vecb = hati+3hatj-5hatk then show that the...

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  12. If veca = 2hati+2hatj+3hatk, vecb = -hati+2hatj+hatk and vecc = 3hati...

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  13. Find x,y,z if hati+hatj+2hatk, -hati+zhatk and 2hati+xhatj+yhatk are m...

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  14. Find a vector and unit vector perpendicular to each of the vector veca...

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  15. Find a vector of magnitude 11 in the direction opposite to that of vec...

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  16. If the points (-1,-1,2) ,(2,m,5) and (3,11,6) are co-linear then find ...

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  17. Calculate the work done if a sled is pulled forward 50m along a fricti...

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  18. It takes 12000J of work to pull a sled 200m with a 120N force. Determi...

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  19. Calculate the work done by a force F = -5hati+hatj+7hatk N when its p...

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  20. A bolt is tightened using a 20N force, applied at an angle of 30^@ to ...

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