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Check whether the three vectors 2hati+2h...

Check whether the three vectors `2hati+2hatj+3hatk, vecb=-3hati+3hatj+2hatk and vecc=3hati+4hatk` form a triangle or not.

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If vectors `veca=2hati+2hatj+3hatk, vecb=-3hati+3hatj+2hatk` and `vecc=3hati+4hatk` form a triangle, then we must have
`" "veca+vecb+vecc=0`
But for given vectors, `veca+vecb+vecc ne 0`. Hence, these vectors do not form a triangle.
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CENGAGE-INTRODUCTION TO VECTORS -JEE Previous Year
  1. Check whether the three vectors 2hati+2hatj+3hatk, vecb=-3hati+3hatj+2...

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  2. Find the all the values of lamda such that (x,y,z)!=(0,0,0)and x(hati+...

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  3. A vector a has components a1,a2,a3 in a right handed rectangular cart...

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  4. The position vectors of the point A, B, C and D are 3hati-2hatj -hatk,...

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  5. Let O A C B be a parallelogram with O at the origin andO C a diagonal....

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  6. In a triangle A B C ,Da n dE are points on B Ca n dA C , respectivley,...

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  7. Prove, by vector method or otherwise, that the point of intersectio...

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  8. Show, by vector methods, that the angularbisectors of a triangle are c...

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  9. Let A(t)=f1(t)veci+f2(t)vecj and vecB(t)=g1(t)veci+g2(t)vecj, tepsilon...

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  10. In a triangle OAB,E is the mid point of OB and D is the point on AB s...

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  11. If |{:(a,,a^(2),,1+a^(3)),(b,,b^(2),,1+b^(3)),(c,,c^(2),,1+c^(3)):}|=0...

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  12. If the vectors ahati+hatj+hatk, hati+bhatj+hatk, hati+hatj+chatk(a!=1,...

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  13. The points with position vectors veca + vecb, veca-vecb and veca +k ve...

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  14. The points with position vectors 60hati+3hatj,40hati-8hatj, 40hati-8ha...

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  15. Let a, b and c be distinct non-negative numbers. If vectos a hati +a h...

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  16. Let veca =veci -veck, vecb = xveci+ vecj + (1-x)veck and vecc =y veci ...

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  17. Let alpha, beta, gamma be distinct real numbers. The points with posit...

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  18. The number of distinct values of lamda, for which the vectors -lamda^(...

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  19. If veca=hati+hatj+hatk, vecb=4hati+3hatj+4hatk and vecc=hati+alphahatj...

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  20. Consider the set of eight vector V={a hat i+b hat j+c hat k ; a ,bc in...

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  21. Suppose that vecp, vecq and vecr are three non-coplanar vectors in R^...

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