Q. These are the component forms of vectors a and b :a=(−4,3)b=(−3,5)Subtract the vectors.a−b=(□,□)
Identify components of vectors: Identify the components of vectors a and b.Vectora has components (−4,3) and vector b has components (−3,5).
Subtract corresponding components: Subtract the corresponding components of vector b from vector a. To subtract two vectors, subtract their corresponding components. So, we subtract the x-components and the y-components separately. For the x-components: −4−(−3)=−4+3=−1 For the y-components: 3−5=−2
Write result as new vector: Write the result as a new vector. The result of the subtraction is a new vector with the x-component and y-component we just calculated. a−b=(−1,−2)