Write as a Vector Equality u=3i-5j , v=6i

Problem

u=3*i−5*j,v=6*i

Solution

1. Identify the standard basis vectors i and j which represent the unit vectors in the x and y directions respectively.

2. Convert the vector u from its linear combination form 3*i−5*j into component form by using the coefficients of i and j as the x and y coordinates.

3. Convert the vector v from its linear combination form 6*i into component form, noting that the coefficient for j is 0

4. State the vectors as equalities in component notation <x,y>

Final Answer

u=<3,−5>,v=<6,0>

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