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What is the value of x so that the vecto...

What is the value of x so that the vector `6hati+2hatj-3hatk` and `hati-4hatj+xhatk` are perpendicular to each other.

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SHARAM PUBLICATION-VECTORS-EXAMPLE
  1. If veca = 3hati+3hatj+hatk and vecb = -2hati+hatj-2hatk then what is t...

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  2. Find the component of the vector vec(b) = 8hat(i) + hat(j) in the dire...

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  3. What is the value of x so that the vector 6hati+2hatj-3hatk and hati-4...

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  4. Determine mu, for which the vector vec(a)=mu(6hat(i)+2hat(j)-3hat(k)) ...

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  5. How many directions a null vector has ?

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  6. If veca,vecb andvecc are three mutually perpendicular vectors, each of...

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  7. What is the volume of the parallelopiped whose sides are given by the ...

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  8. Write the values of m and n for which the vectors (m-1)overset^i+(n+2)...

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  9. Show that the vectors 2hati + 3hatj,5hati -5hatk and 6hatj + 4hatk are...

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  10. If A, B, C, D, E are the.vertices of a regular pentagon, find the vect...

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  11. If vec(a).vec(b) = 0 and vec(a) xx vec(b) = vec(0), then draw the conc...

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  12. Find a vector in the direction of vector 2hati-3hatj+6hatk which has m...

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  13. Find the unit vector in the direction of the sum of the vectors veca=2...

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  14. Write a unitvector in the direction of the sum of vectors veca=2hati-h...

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  15. If veca =xhati+2hatj-zhatk, vecb=3hati-yhatj+2hatk are two equal vecto...

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  16. If hata.hatb=1/2then what is the angle between hata and hatb?

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  17. Write the value of the cosine of the angle which the vector veca =hati...

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  18. Write a vector in the direction of the vector hati-2hatj+3hatk that ha...

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  19. Find the value of ‘a’ such that the vector 6hati+2hatj-3hatk is perpen...

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  20. What is the unit vector perpendicular to the vectors hati- hatj and 2h...

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