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For what value of lambda are the vectors...

For what value of `lambda` are the vectors `veca=2hati+lambdahatj+hatk` and `vecb=hati-2hatj+3hatk` are perpendicular to each other?

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JMD PUBLICATION-VECTOR ALGEBRA-EXAMPLE
  1. If |\veca|=sqrt3,|\vecb|=2 and angle between veca and vecb is 60^o. Fi...

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  2. If |\veca|=2,|\vecb|=sqrt3 and veca.vecb=sqrt3, find the angle between...

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  3. For what value of lambda are the vectors veca=2hati+lambdahatj+hatk an...

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  4. Find the projection of veca on vecb if veca.vecb=8 and vecb=2hati+6hat...

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  5. The value of : hati*(hatjxxhatk)+hatj*(hatixxhatk)+hatk*(hatixxhatj) i...

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  6. Let veca and vecb be two vectors such that |\veca|=3 and |\vecb|=frac{...

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  7. What is the cosine of the angle which the vector sqrt(2hati)+hatj+hatk...

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  8. If vecp is a unit vector and (vecx-vecp).(vecx+vecp)=80, then find |\v...

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  9. Write a vector of magnitude 15 units in the direction of vector hati-2...

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  10. If veca and vecb are two vectors such that |\veca.vecb|=|\vecaxxvecb|,...

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  11. Find the angle between two vectors veca and vecb with magnitudes 1 and...

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  12. Find the value of p if (2hati+6hatj+27hatk)xx(hati+3hatj+phatk)=vec0...

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  13. For what value of 'a' the vectors 2hati-3hatj+4hatk and ahati+6hatj-8h...

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  14. Find the angle between the vectors veca=hati-hatj+hatk and vecb=hati+h...

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  15. Determine the area of the parallelogram whose adjacent sides are 2 hat...

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  16. P and Q are two points with position vectors 3veca-3vecb and veca+vecb...

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  17. Find a unit vector perpendicular to both the vectors (3 hat i + 2 hat ...

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  18. Find a vector of magnitude 8, which is perpendicular to both the vecto...

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  19. If veca=3hati+2hatj+2hatk and vecb=hati+2hatj-2hatk, then find a unit ...

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  20. Find the area of parallelogram whose adjacent sides are given by the v...

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