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For mutually perpendicularl unit vectors...

For mutually perpendicularl unit vectors `hati,hatj,hatk`, we have : `hatixxhati=hatjxxhatj=hatkxxhatk`.

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MODERN PUBLICATION-VECTORS-Exercise
  1. What is the position vector of the mid-point of the line segment joini...

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  2. The scalar product of two given vectors veca and vecb having angle 'th...

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  3. For mutually perpendicularl unit vectors hati,hatj,hatk, we have : hat...

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  4. What is the value of : hati*(hatjxxhatk)+hatj.(hatkxxhati)+hatk.(hatjx...

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  5. If |veca*vecb|=|vecaxxvecb|,then angle between veca and vecb is :

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  6. Classify the following as vector as scalar : veca*vecb,[vecavecbvecc],...

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  7. What is [vecavecbvecc] when veca,vecb,vecc are coplanar ?

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  8. In /\ABC, which of the following is not true ?

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

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  10. If veca is a nonzero vector of magnitude 'a' and lambda a nonzero s...

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  11. Let lambda be any non-zero scalar. Then for what possible values of x,...

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

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

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

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

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

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

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  18. The area of the triangle whose adjacent sides are : veca=3hati+hatj+4h...

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  19. The magnitude of the vector 6hati+2hatj+3hatk is :

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  20. The vector with initial point P(2,-3,5) and terminal point Q(3,-4,7) i...

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