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Show that the vectors overset^i+overset^...

Show that the vectors `overset^i+overset^j-2overset^k,overset^i-2overset^j+overset^k` and `2overset^i-overset^j-overset^k` are the sides of an equilateral triangle.

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Show that the vectors 3overset^i-4overset^j-4overset^k,2overset^i-overset^j+overset^k and overset^i-3overset^j-5overset^k from a right angled tringle.

What is the value of x of the vectors 3overset^i-7overset^j-4overset^k,3overset^i-2overset^j+overset^k and overset^i+overset^j+xoverset^k

What is the angle between the vectors oversetrarra=overset^i+overset^j+overset^k and oversetrarrb=2overset^i-overset^j+overset^k

If oversetrarra=overset^i+2overset^j-3overset^k and oversetrarrb=3overset^i-overset^j+2overset^k then find the angle between

If the vectors alphaoverset^i+3overset^j+overset^k and 2overset^i+overset^j+overset^k are perpendicular, what is alpha

If the vectors overset^i+2overset^j+overset^k and 2overset^i+3overset^j+alphaoverset^k are perpendicular, then what is alpha ?

What is the scalar product of the vectors oversetrarra=2overset^i+overset^j+2overset^k and oversetrarrb=overset^i-2overset^j+overset^k

Show that the normals to the planes oversettor.(overset^i-overset^j+overset^k)=3 and oversettor.(3overset^i+2overset^j-overset^k)=0 are perpendicular to each other.

What is the scalar projection of the vector oversetrarra=overset^i+overset^j+overset^k on oversetrarrb=2overset^i+2overset^j-overset^k

Find the vector of magniltude 5 units and parallel to the resultant of the vectors oversetrarra=2overset^i+3overset^j-overset^k and oversetrarrb=overset^i-2overset^j+overset^k then find the angle between oversetrarra+oversetrarrb and oversetrarra-oversetrarrb .

MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Write the values of m and n for which the vectors (m-1)overset^i+(n+2)...

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  2. Find the magnitude of oversetrarra+oversetrarrb-2oversetrarrc where ov...

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  3. Show that the vectors overset^i+overset^j-2overset^k,overset^i-2overse...

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  4. If oversetrarra=(2,3,6),oversetrarrb=(2,-2,1),oversetrarrc=(-1,0,2) fi...

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  5. If the sum of two unit vectors is a unit vectors find the magnitude of...

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  6. Show that the vectors 3overset^i-4overset^j-4overset^k,2overset^i-over...

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  7. Find the value of k for which A (1,0,3), B(-1,2,4), C(1,2,1) and D(k,2...

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  8. Find the scalar components of the unit vector which is perpendicular t...

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  9. Find a unit vector perpendicualr to each of the vectors (oversetrarra+...

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  10. Find the vector of magniltude 5 units and parallel to the resultant of...

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  11. If oversetrarra=overset^i+2overset^j-3overset^kand oversetrarrb=3overs...

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  12. State True or False.The region given by 2x+5yge1 is a bounded region.

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  13. State True or False .The region x+2yle8,2x+yle8andxge0,yge0 is unbound...

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  14. The feasible region x+yge0,2x+yle0 is a bounded set.

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  15. (1,5) is a pointin the region 2x-yge4,2x+5yle2

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  16. The minimum value of 2x+5 subject to 3x-1ge1 is.

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  17. Shade the feasible region for the inequations 2x+3yle6,xge0,yge0 in a ...

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  18. Find the feasible region satisfying the inequation 2x+yle4,xge0,yge0.

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  19. For the LPP: Maximize z=5x1+7x2 subject to x1+x2lt4 3x1+8x2le24....

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  20. Find the feasible solution for the system x+yge1,2x+yle4,xge0,yge0.

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