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Show that the points A,B and C with posi...

Show that the points A,B and C with position vectors`oversetrarra =3overset^^i-4overset^^j-4overset^^k," " oversetrarrb= 2overset^^i-overset^^j+overset^^k " and " oversetrarrc=overset^^i-3overset^^j-5overset^^k`
respectively form the vertices of a right angled triangle.

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  1. Find the position vector of a point R which divides the line joining t...

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  2. Find the position vector of the mid point of the vector joining the po...

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  3. Show that the points A,B and C with position vectorsoversetrarra =3ove...

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  4. In triangle ABC, which of the following is not true. a)oversetrarr(...

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  5. If oversetrarra"and"oversetrarrbare two collinear vectors, then which ...

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  6. Show that the points A(-2overset^^i+3overset^^j +5overset^^k),B(over...

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  7. Find the projection of the vector oversetrarra =2overset^^i+overset^^j...

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  8. Find the angle between the vectors" " oversetrarra=overset^^i+over...

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  9. Find |oversetrarra-oversetrarrb| if two vectors" " oversetrarra" an...

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  10. If oversetrarra is a unit vector and (oversetrarrx-oversetrarra) .(ove...

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  11. Express 2overset^^i-overset^^j+3overset^^k as the sum of a vector para...

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  12. Consider the vectors oversetrarra=2overset^^i+3overset^^j+overset^^k "...

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  13. Consider the vectors oversetrarra=2overset^^i+3overset^^j+moverset^^k ...

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  14. Consider oversetrarra=overset^^i+2overset^^j-3overset^^k," " overset...

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  15. Consider oversetrarra=overset^^i+2overset^^j-3overset^^k," " overset...

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  16. Consider veca=i+2j-3k,vecb=3i-j+2k,vecc=11i+2j. Show that veca+vecb an...

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  17. Consider oversetrarra=overset^^i+2overset^^j-3overset^^k,oversetrarrb=...

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  18. Consider the vectors " " oversetrarra=2overset^^i-3overset^^j+overse...

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  19. Consider the vectors " "oversetrarra=2overset^^i-3overset^^j+overset...

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  20. Consider the vectorsoversetrarra=2overset^^i-3overset^^j+overset^^k" ...

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