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Home Vectors Product of Vectors Examples Example 4: Buying
 
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Example 4: Buying

A buyer has $7500 and plans to buy a commodity vector B in the direction of the unit vector

U = ⅔i + ⅔j + ⅓k.

Find the largest such commodity vector B which he can buy if the price vector is

P = 2i + 5j + k.

We must have B = tU for some positive t, and also

P · B = 7500. We solve for t.

7500 = P · B = P · tU = t(P - U).

10_vectors-139.gif

Thus

B = tU = 1000i + 1000j + 500k.
Home Vectors Product of Vectors Examples Example 4: Buying

Last Update: 2006-11-15