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Prove that the vectors A=3i+j-2k ,B=-i+3...

Prove that the vectors A=3i+j-2k ,B=-i+3j+4k and C=4i-2j-6k can form a triangle.

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Let us add the vectors `vecB` and `vecC`
`vecB+vecC`=(-i+3j+4k)+(4i-2j-6k)=(-i+4i)+(3i-2j)+(4k-6k)=3i+j-2k=`vecA`
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MBD PUBLICATION-VECTOR ANALYSIS-QUESTION BANK
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  2. Determine the magnitude of the vector having initial point P(x1,y1,z1)...

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  3. Prove that the vectors A=3i+j-2k ,B=-i+3j+4k and C=4i-2j-6k can form a...

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  4. An air plane is flying with velocity 50km/h in north east direction . ...

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  5. Consider two vectors vecF=(4hati-10hatj) Newton and vecr=(-5hati-4hatj...

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  6. Rain is falling vertically with a speed of 35ms^(-1) Wind starts blowi...

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  7. The position of a particle is given byvecr=3.0t (hati)+2.0t^2(hatj)+5....

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  8. Two equal velocities have got a resultant equal to either.what is the ...

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  9. At what angle do two forces (P+Q) and (P-Q) act so that the resultant...

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  10. Determine the direction and magnitude of the resultant of the followin...

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  11. A force of 60 N is applied horizontally find its rectangular component...

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  12. A force of 60 kg wt is applied horizontally find its rectangular compo...

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  13. A force of 60 kg wt is applied horizontally find its rectangular compo...

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  14. A mass M kg is suspended by a weightless string. What is the horizonta...

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  15. Two forces of each magnitude 5N are inclined to each other at 60^@.Fin...

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  16. Two vectors magnitude 2P and P are inclined to each other at a certain...

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  17. Find the magnitude of vectors vecA=2hati+3hatj-hatk and vecB=6hati-8ha...

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  18. Find the direction cosine of vector vecA=3hatj+2hatj+hatk.

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  19. What vector added to vecA=4hati-hatj+2hatk and 2hati+hatj-hatk will gi...

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  20. Vectors vecP=hati+2hatj+3hatk and vecQ=2hati+ahatj-5hatk are perpendic...

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