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All India-2011
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Q10 of 45 Page 1

Write the unit vector in the direction of the vector

Given: vector


To find: the unit vector in the direction of the given vector


We know the unit vector in the direction of a given vector is denoted by ,


And we know,



Substituting the values, we get






Hence the unit vector in the direction of the vector is


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29

A merchant plans to sell two types of personal computers — a desktop model and a portable model that will cost 25,000 and 40,000 respectively. He estimates that the total monthly demand for computers will not exceed 250 units. Determine the number of units of each type of computers which the merchant should stock to get maximum profit if he does not want to invest more than ` 70 lakhs and his profit on the desktop model is ` 4,500 and on the portable model is 5,000. Make an L.P.P. and solve it graphically.

9

Evaluate:

19

Prove the following:

20

Using properties of determinants solve the following for x:

Questions · 45
All India-2011
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