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These are the component forms of vectors 
vec(a) and 
vec(b) :

{:[ vec(a)=(-4","3)],[ vec(b)=(-3","5)]:}
Subtract the vectors.

vec(a)- vec(b)=(◻,◻)

These are the component forms of vectors a \vec{a} and b \vec{b} :\newlinea=(4,3)b=(3,5) \begin{array}{l} \vec{a}=(-4,3) \\ \vec{b}=(-3,5) \end{array} \newlineSubtract the vectors.\newlineab=(,) \vec{a}-\vec{b}=(\square, \square)

Full solution

Q. These are the component forms of vectors a \vec{a} and b \vec{b} :\newlinea=(4,3)b=(3,5) \begin{array}{l} \vec{a}=(-4,3) \\ \vec{b}=(-3,5) \end{array} \newlineSubtract the vectors.\newlineab=(,) \vec{a}-\vec{b}=(\square, \square)
  1. Identify components of vectors: Identify the components of vectors aa and bb.\newlineVector aa has components (4,3)(-4, 3) and vector bb has components (3,5)(-3, 5).
  2. Subtract corresponding components: Subtract the corresponding components of vector bb from vector aa. To subtract two vectors, subtract their corresponding components. So, we subtract the xx-components and the yy-components separately. For the xx-components: 4(3)=4+3=1-4 - (-3) = -4 + 3 = -1 For the yy-components: 35=23 - 5 = -2
  3. Write result as new vector: Write the result as a new vector. The result of the subtraction is a new vector with the xx-component and yy-component we just calculated. ab=(1,2)\vec{a} - \vec{b} = (-1, -2)

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