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The scalar product of the vector hati+ha...

The scalar product of the vector `hati+hatj+hatk` with a unit vector along the sum of vectors ` 2hati+4hatj-5hatk`and `lambdahati+2hatj+3hatk` is equal to one. Find the value of `lambda`.

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The correct Answer is:
`+- sqrt(13)`
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The scalar product of the vector veca=hati+hatj+hatk with a unit vector along the sum of vectors vecb=2hati+4hatj-5hatk and vecc=lambdahati+2hatj+3hatk is equal to one. Find the value of 'lambda' and hence find the unit vector along vecb+vecc .

Find a unit vector parallel to the sum of the vectors hati+hatj+hatk and 2hati-3hatj+5hatk .

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Find the dot product of the vector 2hati+3hatj+1hatk and 1hati+2hatj+3hatk

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OMEGA PUBLICATION-VECTOR ALGEBRA -MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The scalar product of the vector hati+hatj+hatk with a unit vector alo...

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  2. Prove that in any triangle ABC , c = a cos(360-B) + b cos(360-A)

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  3. If veca and vecb are two collinear vectors, then which of the followin...

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  4. If a is a non-zero vector of magnitude V a is a non-zero scalar, then ...

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  5. Let the vectors veca and vecb be such that |veca|=3 and |vecb|=(sqrt2)...

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  6. Area of a rectangle having vertices : A(-hati+1/2 hatj+4hatk),B(hati+1...

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  7. If theta is the angle between two vectors veca and vecb, then veca c...

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  8. Let veca and vecb be two unit vectors and theta is the angle between t...

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  9. If (hati,hatj,hatk) are the usual three perpendicular unit vectors, th...

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  10. Using vectors, find the area of the triangle having vertices A (1, 1, ...

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  11. the angle between vectors veca × vecb and vecb × veca is

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  12. Show that the area of the parallelogram with diagonals veca and vecb, ...

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  13. The area of triangle having adjacent sides veca and vecb is :

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

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  15. If theta is the angle between two vectors veca and vecb, then |veca*ve...

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  16. If veca*vecb=-|veca||vecb|, then theta=

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  17. The projection of the vector veca=2hati+3hatj+2hatk on the vector vecb...

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  18. The product of veca.vecb equals to:

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  19. The product of veca.vecb equals to:

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  20. The vectors a and b are perpendicular, if

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  21. If veca xx vecb=|veca||vecb| sin theta hatn which one is correct

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