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Write the values of m and n for which th...

Write the values of m and n for which the vectors `(m-1)overset^i+(n+2)overset^j+4overset^k` and `(m+1)overset^i+(n-2)overset^j+8overset^k` are parallel

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

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Find the scalar components of the unit vector which is perpendicular to the vectors overset^i+2overset^j-overset^k and 3overset^i-overset^j+2overset^k .

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

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MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Show that the points A,B,C with position vectors oversetrarri+2overset...

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  2. Find a vector in the direction of the vector oversetrarra=5overset^i-o...

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  3. Write the values of m and n for which the vectors (m-1)overset^i+(n+2)...

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

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

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

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

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

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

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

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

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

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

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

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

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  17. (1,5) is a pointin the region 2x-yge4,2x+5yle2

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

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

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

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